SlideShare a Scribd company logo
Triangular numbersTriangular numbers
●●Mihailescu ArinaMihailescu Arina
●●Calin PetreCalin Petre
●●Pavel IsabellaPavel Isabella
●●Constantin MariaConstantin Maria
What is a triangular number?What is a triangular number?
 A triangular number is theA triangular number is the
number of points within annumber of points within an
equilateral triangle that isequilateral triangle that is
filled uniformly withfilled uniformly with
points/dots.points/dots.
-example:-example:
-Three is a-Three is a
triangular number becausetriangular number because
the triangle is made out ofthe triangle is made out of
three non-collinearthree non-collinear
points/dots.points/dots.
The formula for the triangularThe formula for the triangular
numbernumber
 The triangular number “The triangular number “nn” is equal to the” is equal to the
number of points/dots of the triangle innumber of points/dots of the triangle in
which the side has “which the side has “nn” points/dots.” points/dots.
-example:-example:
TT66=1+2+…+(6-1)+6=6*(6+1):2=[6^(2)+6]:2=1+2+…+(6-1)+6=6*(6+1):2=[6^(2)+6]:2
 Triangular numbers have a wideTriangular numbers have a wide
variety of links with figuratevariety of links with figurate
numbers. The easiest one is that thenumbers. The easiest one is that the
sum of two consecutive triangularsum of two consecutive triangular
numbers is a perfect square, morenumbers is a perfect square, more
exactly the difference between theexactly the difference between the
numbers.numbers.
 This can also be demonstratedThis can also be demonstrated
graphically :graphically :
6+10=16 10+15=256+10=16 10+15=25
SOURCESSOURCES
http://ro.wikipedia.org/wiki/Num%C4%83r_triunghiularhttp://ro.wikipedia.org/wiki/Num%C4%83r_triunghiular
THANK YOU!THANK YOU!

More Related Content

What's hot

Fraction & types of fraction
Fraction & types of fraction Fraction & types of fraction
Fraction & types of fraction
Let's Tute
 
Net of 3D shapes
Net of 3D shapes Net of 3D shapes
Net of 3D shapes
AnmolSingh68597
 
Algebraic expressions
Algebraic expressionsAlgebraic expressions
Algebraic expressions
Christie Harp
 
Integers Class 6
Integers Class 6Integers Class 6
Integers Class 6
Prashant Tiwari
 
A fun way to learn about fractions
A fun way to learn about fractionsA fun way to learn about fractions
A fun way to learn about fractionsSaidatun Atikah Said
 
Triangle ppt
Triangle pptTriangle ppt
Triangle ppt
Lovish Goyal
 
Fractions
FractionsFractions
Introduction to algebra
Introduction to algebraIntroduction to algebra
Introduction to algebra
Sukkur IBA
 
Introduction to Rational numbers
Introduction to Rational numbersIntroduction to Rational numbers
Introduction to Rational numbers
Pratima Nayak ,Kendriya Vidyalaya Sangathan
 
Adding Fractions
Adding  FractionsAdding  Fractions
Adding Fractions
Norm Frankenberger
 
Dividing a 3 Digit Number by a 1 Digit Number
Dividing a 3 Digit Number by a 1 Digit NumberDividing a 3 Digit Number by a 1 Digit Number
Dividing a 3 Digit Number by a 1 Digit NumberChris James
 
Numberline notes
Numberline notesNumberline notes
Numberline notes
Melanie_Anderson
 
DATA HANDLING CLASS 7.pdf
DATA HANDLING CLASS 7.pdfDATA HANDLING CLASS 7.pdf
DATA HANDLING CLASS 7.pdf
Dhanvir Singh Landa
 
Simplifying Fractions
Simplifying FractionsSimplifying Fractions
Simplifying Fractionsdalow65
 
Perimeter
PerimeterPerimeter
Perimeter
Beberly Fabayos
 
Mathematics for Grade 6: Integers
Mathematics for Grade 6: IntegersMathematics for Grade 6: Integers
Mathematics for Grade 6: Integers
Bridgette Mackey
 
Integers
Integers Integers
3. multiples, factors and primes
3. multiples, factors and primes3. multiples, factors and primes
3. multiples, factors and primes
Dreams4school
 
Adding and subtracting fractions
Adding and subtracting fractionsAdding and subtracting fractions
Adding and subtracting fractionsjocrumb
 

What's hot (20)

Fraction & types of fraction
Fraction & types of fraction Fraction & types of fraction
Fraction & types of fraction
 
Net of 3D shapes
Net of 3D shapes Net of 3D shapes
Net of 3D shapes
 
Algebraic expressions
Algebraic expressionsAlgebraic expressions
Algebraic expressions
 
Integers Class 6
Integers Class 6Integers Class 6
Integers Class 6
 
Mathematics
MathematicsMathematics
Mathematics
 
A fun way to learn about fractions
A fun way to learn about fractionsA fun way to learn about fractions
A fun way to learn about fractions
 
Triangle ppt
Triangle pptTriangle ppt
Triangle ppt
 
Fractions
FractionsFractions
Fractions
 
Introduction to algebra
Introduction to algebraIntroduction to algebra
Introduction to algebra
 
Introduction to Rational numbers
Introduction to Rational numbersIntroduction to Rational numbers
Introduction to Rational numbers
 
Adding Fractions
Adding  FractionsAdding  Fractions
Adding Fractions
 
Dividing a 3 Digit Number by a 1 Digit Number
Dividing a 3 Digit Number by a 1 Digit NumberDividing a 3 Digit Number by a 1 Digit Number
Dividing a 3 Digit Number by a 1 Digit Number
 
Numberline notes
Numberline notesNumberline notes
Numberline notes
 
DATA HANDLING CLASS 7.pdf
DATA HANDLING CLASS 7.pdfDATA HANDLING CLASS 7.pdf
DATA HANDLING CLASS 7.pdf
 
Simplifying Fractions
Simplifying FractionsSimplifying Fractions
Simplifying Fractions
 
Perimeter
PerimeterPerimeter
Perimeter
 
Mathematics for Grade 6: Integers
Mathematics for Grade 6: IntegersMathematics for Grade 6: Integers
Mathematics for Grade 6: Integers
 
Integers
Integers Integers
Integers
 
3. multiples, factors and primes
3. multiples, factors and primes3. multiples, factors and primes
3. multiples, factors and primes
 
Adding and subtracting fractions
Adding and subtracting fractionsAdding and subtracting fractions
Adding and subtracting fractions
 

Viewers also liked

polygons
polygonspolygons
Sorting (Bubble,Merge,Selection sort)
Sorting (Bubble,Merge,Selection sort)Sorting (Bubble,Merge,Selection sort)
Sorting (Bubble,Merge,Selection sort)
oDesk
 
Selection sort
Selection sortSelection sort
Selection sort
stella D
 
Insertion and merge sort
Insertion and merge sortInsertion and merge sort
Insertion and merge sort
Preetham Devisetty
 
3.4 selection sort
3.4 selection sort3.4 selection sort
3.4 selection sort
Krish_ver2
 
Insertion Sort
Insertion SortInsertion Sort
Insertion Sort
Brett Duncan
 
Insertion sort
Insertion sortInsertion sort
Insertion sort
almaqboli
 
Bubble Sort
Bubble SortBubble Sort
Bubble Sort
geeortiz
 
Algorithm and pseudo codes
Algorithm and pseudo codesAlgorithm and pseudo codes
Algorithm and pseudo codeshermiraguilar
 
Polygons presentation
Polygons presentationPolygons presentation
Polygons presentationJessica
 

Viewers also liked (11)

polygons
polygonspolygons
polygons
 
Sorting (Bubble,Merge,Selection sort)
Sorting (Bubble,Merge,Selection sort)Sorting (Bubble,Merge,Selection sort)
Sorting (Bubble,Merge,Selection sort)
 
Selection sort
Selection sortSelection sort
Selection sort
 
Insertion and merge sort
Insertion and merge sortInsertion and merge sort
Insertion and merge sort
 
3.4 selection sort
3.4 selection sort3.4 selection sort
3.4 selection sort
 
Insertion Sort
Insertion SortInsertion Sort
Insertion Sort
 
Insertion sort
Insertion sortInsertion sort
Insertion sort
 
Sorting
SortingSorting
Sorting
 
Bubble Sort
Bubble SortBubble Sort
Bubble Sort
 
Algorithm and pseudo codes
Algorithm and pseudo codesAlgorithm and pseudo codes
Algorithm and pseudo codes
 
Polygons presentation
Polygons presentationPolygons presentation
Polygons presentation
 

More from Irina Vasilescu

Ppt webinar-final
Ppt webinar-finalPpt webinar-final
Ppt webinar-final
Irina Vasilescu
 
eTwinning Live
eTwinning LiveeTwinning Live
eTwinning Live
Irina Vasilescu
 
AIMSterdam
AIMSterdamAIMSterdam
AIMSterdam
Irina Vasilescu
 
Triangular numbers
Triangular numbersTriangular numbers
Triangular numbers
Irina Vasilescu
 
Polygonal and square numbers
Polygonal and square numbersPolygonal and square numbers
Polygonal and square numbers
Irina Vasilescu
 
Pentagonal numbers
Pentagonal numbersPentagonal numbers
Pentagonal numbers
Irina Vasilescu
 
Pentagonal numbers
Pentagonal numbersPentagonal numbers
Pentagonal numbers
Irina Vasilescu
 
Fibonacci numbers
Fibonacci numbersFibonacci numbers
Fibonacci numbers
Irina Vasilescu
 
Factorial numbers
Factorial numbersFactorial numbers
Factorial numbers
Irina Vasilescu
 
Cube numbers
Cube numbersCube numbers
Cube numbers
Irina Vasilescu
 
Amicable numbers
Amicable numbersAmicable numbers
Amicable numbers
Irina Vasilescu
 
Magic squares
Magic squaresMagic squares
Magic squares
Irina Vasilescu
 
Dressing Mr. Cube- How we worked
Dressing Mr. Cube- How we workedDressing Mr. Cube- How we worked
Dressing Mr. Cube- How we worked
Irina Vasilescu
 
Tessellations instructions
Tessellations instructionsTessellations instructions
Tessellations instructions
Irina Vasilescu
 
Think maths -_fractal_activities_sheets
Think maths -_fractal_activities_sheets Think maths -_fractal_activities_sheets
Think maths -_fractal_activities_sheets
Irina Vasilescu
 
Hexagonal figures fractals
Hexagonal figures fractalsHexagonal figures fractals
Hexagonal figures fractals
Irina Vasilescu
 
Aims Avila_Claudia si Iulia
Aims Avila_Claudia si IuliaAims Avila_Claudia si Iulia
Aims Avila_Claudia si Iulia
Irina Vasilescu
 
Alexandra's Diary from Avila
Alexandra's Diary from AvilaAlexandra's Diary from Avila
Alexandra's Diary from Avila
Irina Vasilescu
 
Sierpinski carpet work proposal
Sierpinski carpet work proposalSierpinski carpet work proposal
Sierpinski carpet work proposalIrina Vasilescu
 

More from Irina Vasilescu (20)

Ppt webinar-final
Ppt webinar-finalPpt webinar-final
Ppt webinar-final
 
eTwinning Live
eTwinning LiveeTwinning Live
eTwinning Live
 
AIMSterdam
AIMSterdamAIMSterdam
AIMSterdam
 
Triangular numbers
Triangular numbersTriangular numbers
Triangular numbers
 
Polygonal and square numbers
Polygonal and square numbersPolygonal and square numbers
Polygonal and square numbers
 
Pentagonal numbers
Pentagonal numbersPentagonal numbers
Pentagonal numbers
 
Pentagonal numbers
Pentagonal numbersPentagonal numbers
Pentagonal numbers
 
Fibonacci numbers
Fibonacci numbersFibonacci numbers
Fibonacci numbers
 
Factorial numbers
Factorial numbersFactorial numbers
Factorial numbers
 
Cube numbers
Cube numbersCube numbers
Cube numbers
 
Amicable numbers
Amicable numbersAmicable numbers
Amicable numbers
 
Magic squares
Magic squaresMagic squares
Magic squares
 
Dressing Mr. Cube- How we worked
Dressing Mr. Cube- How we workedDressing Mr. Cube- How we worked
Dressing Mr. Cube- How we worked
 
Tessellations instructions
Tessellations instructionsTessellations instructions
Tessellations instructions
 
Atom ro md
Atom ro mdAtom ro md
Atom ro md
 
Think maths -_fractal_activities_sheets
Think maths -_fractal_activities_sheets Think maths -_fractal_activities_sheets
Think maths -_fractal_activities_sheets
 
Hexagonal figures fractals
Hexagonal figures fractalsHexagonal figures fractals
Hexagonal figures fractals
 
Aims Avila_Claudia si Iulia
Aims Avila_Claudia si IuliaAims Avila_Claudia si Iulia
Aims Avila_Claudia si Iulia
 
Alexandra's Diary from Avila
Alexandra's Diary from AvilaAlexandra's Diary from Avila
Alexandra's Diary from Avila
 
Sierpinski carpet work proposal
Sierpinski carpet work proposalSierpinski carpet work proposal
Sierpinski carpet work proposal
 

Recently uploaded

Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
Jisc
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
EugeneSaldivar
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
Anna Sz.
 
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdfAdversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Po-Chuan Chen
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
heathfieldcps1
 
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXXPhrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
MIRIAMSALINAS13
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
Atul Kumar Singh
 
2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...
Sandy Millin
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
Levi Shapiro
 
Operation Blue Star - Saka Neela Tara
Operation Blue Star   -  Saka Neela TaraOperation Blue Star   -  Saka Neela Tara
Operation Blue Star - Saka Neela Tara
Balvir Singh
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
vaibhavrinwa19
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
Nguyen Thanh Tu Collection
 
How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
Jisc
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
EverAndrsGuerraGuerr
 
special B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdfspecial B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdf
Special education needs
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
TechSoup
 
Honest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptxHonest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptx
timhan337
 
Francesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptxFrancesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptx
EduSkills OECD
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
Jheel Barad
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
TechSoup
 

Recently uploaded (20)

Supporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptxSupporting (UKRI) OA monographs at Salford.pptx
Supporting (UKRI) OA monographs at Salford.pptx
 
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...TESDA TM1 REVIEWER  FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
TESDA TM1 REVIEWER FOR NATIONAL ASSESSMENT WRITTEN AND ORAL QUESTIONS WITH A...
 
Polish students' mobility in the Czech Republic
Polish students' mobility in the Czech RepublicPolish students' mobility in the Czech Republic
Polish students' mobility in the Czech Republic
 
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdfAdversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
Adversarial Attention Modeling for Multi-dimensional Emotion Regression.pdf
 
The basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptxThe basics of sentences session 5pptx.pptx
The basics of sentences session 5pptx.pptx
 
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXXPhrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
Phrasal Verbs.XXXXXXXXXXXXXXXXXXXXXXXXXX
 
Language Across the Curriculm LAC B.Ed.
Language Across the  Curriculm LAC B.Ed.Language Across the  Curriculm LAC B.Ed.
Language Across the Curriculm LAC B.Ed.
 
2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...2024.06.01 Introducing a competency framework for languag learning materials ...
2024.06.01 Introducing a competency framework for languag learning materials ...
 
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
June 3, 2024 Anti-Semitism Letter Sent to MIT President Kornbluth and MIT Cor...
 
Operation Blue Star - Saka Neela Tara
Operation Blue Star   -  Saka Neela TaraOperation Blue Star   -  Saka Neela Tara
Operation Blue Star - Saka Neela Tara
 
Acetabularia Information For Class 9 .docx
Acetabularia Information For Class 9  .docxAcetabularia Information For Class 9  .docx
Acetabularia Information For Class 9 .docx
 
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
BÀI TẬP BỔ TRỢ TIẾNG ANH GLOBAL SUCCESS LỚP 3 - CẢ NĂM (CÓ FILE NGHE VÀ ĐÁP Á...
 
How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...How libraries can support authors with open access requirements for UKRI fund...
How libraries can support authors with open access requirements for UKRI fund...
 
Thesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.pptThesis Statement for students diagnonsed withADHD.ppt
Thesis Statement for students diagnonsed withADHD.ppt
 
special B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdfspecial B.ed 2nd year old paper_20240531.pdf
special B.ed 2nd year old paper_20240531.pdf
 
Introduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp NetworkIntroduction to AI for Nonprofits with Tapp Network
Introduction to AI for Nonprofits with Tapp Network
 
Honest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptxHonest Reviews of Tim Han LMA Course Program.pptx
Honest Reviews of Tim Han LMA Course Program.pptx
 
Francesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptxFrancesca Gottschalk - How can education support child empowerment.pptx
Francesca Gottschalk - How can education support child empowerment.pptx
 
Instructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptxInstructions for Submissions thorugh G- Classroom.pptx
Instructions for Submissions thorugh G- Classroom.pptx
 
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup   New Member Orientation and Q&A (May 2024).pdfWelcome to TechSoup   New Member Orientation and Q&A (May 2024).pdf
Welcome to TechSoup New Member Orientation and Q&A (May 2024).pdf
 

Triangular numbers

  • 1. Triangular numbersTriangular numbers ●●Mihailescu ArinaMihailescu Arina ●●Calin PetreCalin Petre ●●Pavel IsabellaPavel Isabella ●●Constantin MariaConstantin Maria
  • 2. What is a triangular number?What is a triangular number?  A triangular number is theA triangular number is the number of points within annumber of points within an equilateral triangle that isequilateral triangle that is filled uniformly withfilled uniformly with points/dots.points/dots. -example:-example: -Three is a-Three is a triangular number becausetriangular number because the triangle is made out ofthe triangle is made out of three non-collinearthree non-collinear points/dots.points/dots.
  • 3. The formula for the triangularThe formula for the triangular numbernumber  The triangular number “The triangular number “nn” is equal to the” is equal to the number of points/dots of the triangle innumber of points/dots of the triangle in which the side has “which the side has “nn” points/dots.” points/dots. -example:-example: TT66=1+2+…+(6-1)+6=6*(6+1):2=[6^(2)+6]:2=1+2+…+(6-1)+6=6*(6+1):2=[6^(2)+6]:2
  • 4.  Triangular numbers have a wideTriangular numbers have a wide variety of links with figuratevariety of links with figurate numbers. The easiest one is that thenumbers. The easiest one is that the sum of two consecutive triangularsum of two consecutive triangular numbers is a perfect square, morenumbers is a perfect square, more exactly the difference between theexactly the difference between the numbers.numbers.
  • 5.  This can also be demonstratedThis can also be demonstrated graphically :graphically : 6+10=16 10+15=256+10=16 10+15=25