Arithmetic and Geometric Sequences

Front

Which sequence is an arithmetic sequence? Options: 3, 6, 2, 7, ...; 3, 6, 12, 24, ...; 3, 6, 10, 15, ...; 3, 7, 11, 15, ...

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3, 7, 11, 15, ...

Tags

CCSS.HSF.BF.A.2

Front

Arithmetic sequence: 5, 2, –1, –4, . . . Find a₇.

Back

-13

Tags

CCSS.HSF.BF.A.2

Front

In a certain arithmetic sequence, a₅ = 12 and a₆ = 16. What is a₁ ?

Back

-4

Tags

CCSS.HSF.BF.A.2

Front

The first term of an arithmetic sequence is b and the second term is c. What is the explicit formula to find the n^th term of the sequence? Options: a_n = b + (n − 1) c, a_n = c + (n − 1) b, a_n = b + (n − 1) (b − c), a_n = b + (n − 1) (c − b)

Back

a_n = b + (n − 1) (c − b)

Tags

CCSS.HSF.BF.A.2

Front

The explicit formula for a sequence is a_n = 5 − 3n. What is the value of a₂₂ ?

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a₂₂ = -61

Tags

CCSS.HSF.BF.A.2

Front

In an arithmetic sequence, the third term is 1 and the ninth is 49. What is the explicit formula for the sequence?

Back

a_n = 8n − 23

Tags

CCSS.HSF.BF.A.2

Front

Arithmetic sequence: 8, 7.3, 6.6, 5.9, ... What function describes the sequence?

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f (x) = −0.7x + 8.7

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CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

Given the arithmetic sequence: 22, 17, 12, 7, . . . . What is the recursive formula that models the sequence?

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f (1) = 22
f (n) = f (n − 1) − 5

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CCSS.HSF.IF.A.3

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What is the common ratio of this geometric sequence? 500, 200, 80, 32, ...

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2/5

Tags

CCSS.HSF.BF.A.2

Front

Which sequence is a geometric sequence with a common ratio of 2? Options: 5, 3, 1, -1, ..., 5, 7, 9, 11, ..., 5, 10, 20, 40, ..., 5, 15, 45, 135, ...

Back

5, 10, 20, 40, ...

Tags

CCSS.HSF.BF.A.2