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Sequences
SECTION 5.2
Vocabulary
 A ________________ is an ordered list of
numbers.
 Each number in a sequences is called a _________
 In an __________ sequence, each term is found by
adding the same number to the previous term.
Graphic Organizer
Arithmetic
Sequences
Describe and Extend Sequences
 In an arithmetic sequence, the terms can be whole
numbers, fractions, or decimals
 Examples: Describe the relationship, then write the
next three terms.
 1. 0, 13, 26, 39
2. 4, 7, 10, 13
Write an Algebraic Expression
 In a sequence, each term has a specific position
within the sequence. Consider the sequence
2, 4, 6, 8…
__rd position
__st position
___nd
position
__th
position
Write an Algebraic Expression
 Notice that as the position number increases by 1,
the value of the term increases by 2.
Position
1
2
3
4
Operation
Value of Term
Write an Algebraic Expression
 You can also write an algebraic expression to
represent the relationship between and
__________ in a __________ and its position in
the sequence.
 In this case, if n represents the position in the
sequence, the value of the term is _______
Practice
 Describe the relationship, then write the next three
terms in the sequence.
 1. 0, 9, 18, 27
 2. 4, 9, 14, 19
Practice
 Describe the pattern to write an expression:
 3.
1
3
2
6
3
9
Essential Question
 Explain why the following sequence is considered an
arithmetic sequence
 5, 9, 13, 17, 21
 ____________________________________
____________________________________
____________________________________
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