Upcoming SlideShare
×

Like this presentation? Why not share!

# TechMathII - 1.2 - Sequences

## on Aug 27, 2010

• 414 views

### Views

Total Views
414
Views on SlideShare
414
Embed Views
0

Likes
0
7
0

No embeds

### Report content

• Comment goes here.
Are you sure you want to

## TechMathII - 1.2 - SequencesPresentation Transcript

• Bell Ringer
• Write in order from least to greatest.
• 1) -4/9, -2/5, -5/14
• 2) -6/14, -5/8, -21/45
• 3) 1/11, 2/19, 5/25
• Vocabulary
• Sequences : numerical patterns in which the numbers are arranged in a certain order
• Terms : the numbers in a sequence
• Continuing and Identifying a Pattern Ex 1:
• What is the perimeter (distance around) of the first figure:
• What is the perimeter of the second figure?
• What is the pattern in the perimeter of the figures?
• What is the perimeter of the 6 th and 10 th figures?
View slide
• Arithmetic Sequences
• - When the difference between two consecutive terms of a sequence is the same
• “ adding the same amount each time”
• - Common Difference
View slide
• Examples
• Find the next three terms in each arithmetic sequence.
• 1) 25, 37, 49, 61, …
• 2) 5, 11, 17, 23, …
• 3) Z, ZYY, ZYXX, ZYXWW, …
• 4) A, AA, AAB, AABB, AABBC, …
• You try 1! Find the next three terms in each arithmetic sequence.
• 1) -2, 5, 12, 19, …
• 2) 135, 122, 109, …
• 3) 1/8, ¼, 3/8, ½, …
• 4) -21, -32, -43, …
• Geometric Sequences
• - Each term is multiplied by a common number or factor to obtain the next term
• “ multiplying by the same amount each time”
• - Common Ratio
• Examples
• Find the next three terms in each geometric sequence.
• 1) 48, 24, 12, 6, …
• 2) 3, 15, 75, 375, …
• 3) 1, ½, ¼, …
• 4) 352, -176, 88, -44, …
• You try 2! Find the next three terms in each geometric sequence.
• 1) 1, -1, 1, -1, …
• 2) 135, 45, 15, …
• 3) 6, 30, 150, …
• 4) 22500, 4500, 900, …
• You try 3! Decide whether each sequence is arithmetic or geometric. Then find the next three terms in each sequence.
• 1) 1, 2, 4, 8, …
• 2) 13, 9, 5, …
• 3) 16, -4, 1, …
• 4) -5, 0, 5, 10, …
• Homework
• Sequences WS