7th Grade Math

Test Practice

CHALLENGE Not all sequences are arithmetic. But, there is still a pattern.

Describe the relationship between the terms in each sequence. Then write

the next three terms in the sequence.

36. 1, 2, 4, 7, 11, ... 37. 0, 2, 6, 12, 20, ...


37. OPEN ENDED Write five terms of an arithmetic sequence and describe the
    rule for finding the terms.


38. E WRITE MATH Janice earns $6.50 per hour running errands for her
    neighbor. Explain how her hourly earnings form an arithmetic sequence.

C

40. Which sequence follows the rule
    3 n - 2, where n represents the position
    of a term in the sequence?
    A. 21, 18, 15, 12, 9, ...
    B. 3, 6, 9, 12, 15, ...
    C. 1, 7, 10, 13, 16, ...
    D. 1, 4, 7, 10, 13, ...
    41. Which expression can be used to find
    the nth term in this sequence?

Position 12345 n th

Value

of Term^25101726

F. n^2 + 1 H. n + 1

G. 2 n + 1 I. 2 n^2 + 2

Sequences

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AboutAbout

In a geometric sequence, each term is found by multiplying the previous

term by the same number.

Describe the relationship between the terms in the geometric sequence

shown in the table below. Then write the next 3 terms in the sequence.

Term 1234

Value of term 24816

× 2 × 2 × 2

Each term is found by multiplying the previous term by 2.

So, the next 3 terms are 32, 64, and 128.

Describe the relationship between the terms in the geometric sequence.

Then write the next three terms of each geometric sequence.

42. 1, 4, 16, 64, ... 43. 2, 6, 18, 54, ... 44. 5, 25, 125, 625, ...

Lesson 2B Patterns 49

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