SlideShare a Scribd company logo
1 of 7
01/29/15 D. Smith 1
How to find the
nth rule for a
linear sequence
01/29/15 D. Smith 2
Find the nth
rule for this
sequence: 5, 8, 11, 14, 17…
 Make a table with 5 columns and write the
position of the terms – 1st
2nd
3rd
4th
etc as the n
numbers in the first column
n
1
2
3
4
5
01/29/15 D. Smith 3
Put the terms into the
second column, 5, 8, 11,
14, 17…
n Term
1 5
2 8
3 11
4 14
5 17
6
01/29/15 D. Smith 4
Find the difference between the
terms 8 – 5 = 3 and write it in
the third column
n Term Difference
1 5 3
2 8 3
3 11 3
4 14 3
5 17 3
6
01/29/15 D. Smith 5
Write the difference
number multiplied by
the n number in the
fourth column
n Term Difference 3n
1 5 3 3
2 8 3 6
3 11 3 9
4 14 3 12
5 17 3 15
6
01/29/15 D. Smith 6
Write the difference between the
value of 3n and the term in the
fifth column
n Term Difference 3n
1 5 3 3 2
2 8 3 6 2
3 11 3 9 2
4 14 3 12 2
5 17 3 15 2
6
01/29/15 D. Smith 7
The nth rule is:
Term = 3n + 2

More Related Content

What's hot

Rounding Numbers
Rounding NumbersRounding Numbers
Rounding Numbersmilenia86
 
Math 6 - Ratio and Rate
Math 6 - Ratio and RateMath 6 - Ratio and Rate
Math 6 - Ratio and Ratemenchreo
 
Order of Operations
Order of OperationsOrder of Operations
Order of Operationsmtront
 
Patterns and sequences
Patterns and sequencesPatterns and sequences
Patterns and sequencesLea Perez
 
Lesson 1 Place Value and Value of Whole Numbers
Lesson 1 Place Value and Value of Whole NumbersLesson 1 Place Value and Value of Whole Numbers
Lesson 1 Place Value and Value of Whole NumbersALVinsZacal
 
Number sentences and patterns
Number sentences and patternsNumber sentences and patterns
Number sentences and patternsNeilfieOrit2
 
Divisibility rules for 3,6,& 9
Divisibility rules for 3,6,& 9Divisibility rules for 3,6,& 9
Divisibility rules for 3,6,& 9Mary Capuyan
 
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
 
2.1 comparing & ordering fractions
2.1 comparing & ordering fractions2.1 comparing & ordering fractions
2.1 comparing & ordering fractionsgheovani
 
Adding Fractions With Unlike Denominators
Adding Fractions With Unlike DenominatorsAdding Fractions With Unlike Denominators
Adding Fractions With Unlike DenominatorsSarah Hallum
 
Ordering and Comparing Numbers (Math 4)
Ordering and Comparing Numbers (Math 4)Ordering and Comparing Numbers (Math 4)
Ordering and Comparing Numbers (Math 4)menchreo
 
Dividing fractions
Dividing fractionsDividing fractions
Dividing fractionsLea Perez
 
Dividing Decimals By Decimals
Dividing Decimals By DecimalsDividing Decimals By Decimals
Dividing Decimals By Decimalsmstalions
 
Comparing And Ordering Decimals
Comparing And Ordering DecimalsComparing And Ordering Decimals
Comparing And Ordering Decimalspfannebeka
 
Add and Subtract Decimals
Add and Subtract DecimalsAdd and Subtract Decimals
Add and Subtract DecimalsBrooke Young
 
Evaluating Algebraic Expressions
Evaluating Algebraic ExpressionsEvaluating Algebraic Expressions
Evaluating Algebraic Expressionsbizarregirl
 

What's hot (20)

Rounding Numbers
Rounding NumbersRounding Numbers
Rounding Numbers
 
Math 6 - Ratio and Rate
Math 6 - Ratio and RateMath 6 - Ratio and Rate
Math 6 - Ratio and Rate
 
Order of Operations
Order of OperationsOrder of Operations
Order of Operations
 
Adding similar fractions
Adding similar fractionsAdding similar fractions
Adding similar fractions
 
Patterns and sequences
Patterns and sequencesPatterns and sequences
Patterns and sequences
 
Number Sequences
Number SequencesNumber Sequences
Number Sequences
 
Lesson 1 Place Value and Value of Whole Numbers
Lesson 1 Place Value and Value of Whole NumbersLesson 1 Place Value and Value of Whole Numbers
Lesson 1 Place Value and Value of Whole Numbers
 
Number sentences and patterns
Number sentences and patternsNumber sentences and patterns
Number sentences and patterns
 
Long division
Long divisionLong division
Long division
 
Divisibility rules for 3,6,& 9
Divisibility rules for 3,6,& 9Divisibility rules for 3,6,& 9
Divisibility rules for 3,6,& 9
 
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
 
2.1 comparing & ordering fractions
2.1 comparing & ordering fractions2.1 comparing & ordering fractions
2.1 comparing & ordering fractions
 
Adding Fractions With Unlike Denominators
Adding Fractions With Unlike DenominatorsAdding Fractions With Unlike Denominators
Adding Fractions With Unlike Denominators
 
Ordering and Comparing Numbers (Math 4)
Ordering and Comparing Numbers (Math 4)Ordering and Comparing Numbers (Math 4)
Ordering and Comparing Numbers (Math 4)
 
Dividing fractions
Dividing fractionsDividing fractions
Dividing fractions
 
Decimals Add and Subtract
Decimals Add and SubtractDecimals Add and Subtract
Decimals Add and Subtract
 
Dividing Decimals By Decimals
Dividing Decimals By DecimalsDividing Decimals By Decimals
Dividing Decimals By Decimals
 
Comparing And Ordering Decimals
Comparing And Ordering DecimalsComparing And Ordering Decimals
Comparing And Ordering Decimals
 
Add and Subtract Decimals
Add and Subtract DecimalsAdd and Subtract Decimals
Add and Subtract Decimals
 
Evaluating Algebraic Expressions
Evaluating Algebraic ExpressionsEvaluating Algebraic Expressions
Evaluating Algebraic Expressions
 

Viewers also liked

Force and motion quiz
Force and motion quizForce and motion quiz
Force and motion quizcvanmieghem
 
Chapter 1 sequences and series lesson
Chapter 1 sequences and series lessonChapter 1 sequences and series lesson
Chapter 1 sequences and series lessonLinden Ulysses Meyers
 
4) generating sequence_from_the_nth_term
4) generating sequence_from_the_nth_term4) generating sequence_from_the_nth_term
4) generating sequence_from_the_nth_termharlie90
 
3) finding the_nth_term
3) finding the_nth_term3) finding the_nth_term
3) finding the_nth_termharlie90
 

Viewers also liked (6)

Force and motion quiz
Force and motion quizForce and motion quiz
Force and motion quiz
 
Sequences
SequencesSequences
Sequences
 
Chapter 1 sequences and series lesson
Chapter 1 sequences and series lessonChapter 1 sequences and series lesson
Chapter 1 sequences and series lesson
 
Forces Quiz
Forces QuizForces Quiz
Forces Quiz
 
4) generating sequence_from_the_nth_term
4) generating sequence_from_the_nth_term4) generating sequence_from_the_nth_term
4) generating sequence_from_the_nth_term
 
3) finding the_nth_term
3) finding the_nth_term3) finding the_nth_term
3) finding the_nth_term
 

More from Patryk Mamica

More from Patryk Mamica (18)

Decimal places
Decimal placesDecimal places
Decimal places
 
Ratio in maths
Ratio in mathsRatio in maths
Ratio in maths
 
Ratio
RatioRatio
Ratio
 
Prime factor decomposition
Prime factor decompositionPrime factor decomposition
Prime factor decomposition
 
Multiply and divide numbers between 0 and 1
Multiply and divide numbers between 0 and 1Multiply and divide numbers between 0 and 1
Multiply and divide numbers between 0 and 1
 
Linera sequence
Linera sequenceLinera sequence
Linera sequence
 
Fractions
FractionsFractions
Fractions
 
Expanding two brackets
Expanding two bracketsExpanding two brackets
Expanding two brackets
 
Expanding over a single term
Expanding over a single termExpanding over a single term
Expanding over a single term
 
Expand brackets 5
Expand brackets 5Expand brackets 5
Expand brackets 5
 
Expand brackets 4
Expand brackets 4Expand brackets 4
Expand brackets 4
 
Directed numbers
Directed numbersDirected numbers
Directed numbers
 
Expand brackets 1
Expand brackets 1Expand brackets 1
Expand brackets 1
 
Expand brackets 3
Expand brackets 3Expand brackets 3
Expand brackets 3
 
Fractions
FractionsFractions
Fractions
 
Decimal places
Decimal placesDecimal places
Decimal places
 
Ratio in maths
Ratio in mathsRatio in maths
Ratio in maths
 
Ratio in maths
Ratio in mathsRatio in maths
Ratio in maths
 

Recently uploaded

Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsanshu789521
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxheathfieldcps1
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformChameera Dedduwage
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactdawncurless
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptxVS Mahajan Coaching Centre
 
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting DataJhengPantaleon
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxmanuelaromero2013
 
How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17Celine George
 
URLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppURLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppCeline George
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxOH TEIK BIN
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxNirmalaLoungPoorunde1
 
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...Marc Dusseiller Dusjagr
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docxPoojaSen20
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Krashi Coaching
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)eniolaolutunde
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdfssuser54595a
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️9953056974 Low Rate Call Girls In Saket, Delhi NCR
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxGaneshChakor2
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfsanyamsingh5019
 

Recently uploaded (20)

Presiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha electionsPresiding Officer Training module 2024 lok sabha elections
Presiding Officer Training module 2024 lok sabha elections
 
The basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptxThe basics of sentences session 2pptx copy.pptx
The basics of sentences session 2pptx copy.pptx
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy Reform
 
Accessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impactAccessible design: Minimum effort, maximum impact
Accessible design: Minimum effort, maximum impact
 
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions  for the students and aspirants of Chemistry12th.pptxOrganic Name Reactions  for the students and aspirants of Chemistry12th.pptx
Organic Name Reactions for the students and aspirants of Chemistry12th.pptx
 
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data_Math 4-Q4 Week 5.pptx Steps in Collecting Data
_Math 4-Q4 Week 5.pptx Steps in Collecting Data
 
How to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptxHow to Make a Pirate ship Primary Education.pptx
How to Make a Pirate ship Primary Education.pptx
 
How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17How to Configure Email Server in Odoo 17
How to Configure Email Server in Odoo 17
 
URLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website AppURLs and Routing in the Odoo 17 Website App
URLs and Routing in the Odoo 17 Website App
 
Solving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptxSolving Puzzles Benefits Everyone (English).pptx
Solving Puzzles Benefits Everyone (English).pptx
 
Employee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptxEmployee wellbeing at the workplace.pptx
Employee wellbeing at the workplace.pptx
 
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
“Oh GOSH! Reflecting on Hackteria's Collaborative Practices in a Global Do-It...
 
MENTAL STATUS EXAMINATION format.docx
MENTAL     STATUS EXAMINATION format.docxMENTAL     STATUS EXAMINATION format.docx
MENTAL STATUS EXAMINATION format.docx
 
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
Kisan Call Centre - To harness potential of ICT in Agriculture by answer farm...
 
Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)Software Engineering Methodologies (overview)
Software Engineering Methodologies (overview)
 
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
Model Call Girl in Tilak Nagar Delhi reach out to us at 🔝9953056974🔝
 
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
18-04-UA_REPORT_MEDIALITERAСY_INDEX-DM_23-1-final-eng.pdf
 
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
call girls in Kamla Market (DELHI) 🔝 >༒9953330565🔝 genuine Escort Service 🔝✔️✔️
 
CARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptxCARE OF CHILD IN INCUBATOR..........pptx
CARE OF CHILD IN INCUBATOR..........pptx
 
Sanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdfSanyam Choudhary Chemistry practical.pdf
Sanyam Choudhary Chemistry practical.pdf
 

Nth term

  • 1. 01/29/15 D. Smith 1 How to find the nth rule for a linear sequence
  • 2. 01/29/15 D. Smith 2 Find the nth rule for this sequence: 5, 8, 11, 14, 17…  Make a table with 5 columns and write the position of the terms – 1st 2nd 3rd 4th etc as the n numbers in the first column n 1 2 3 4 5
  • 3. 01/29/15 D. Smith 3 Put the terms into the second column, 5, 8, 11, 14, 17… n Term 1 5 2 8 3 11 4 14 5 17 6
  • 4. 01/29/15 D. Smith 4 Find the difference between the terms 8 – 5 = 3 and write it in the third column n Term Difference 1 5 3 2 8 3 3 11 3 4 14 3 5 17 3 6
  • 5. 01/29/15 D. Smith 5 Write the difference number multiplied by the n number in the fourth column n Term Difference 3n 1 5 3 3 2 8 3 6 3 11 3 9 4 14 3 12 5 17 3 15 6
  • 6. 01/29/15 D. Smith 6 Write the difference between the value of 3n and the term in the fifth column n Term Difference 3n 1 5 3 3 2 2 8 3 6 2 3 11 3 9 2 4 14 3 12 2 5 17 3 15 2 6
  • 7. 01/29/15 D. Smith 7 The nth rule is: Term = 3n + 2