Recovery Work

Which sequence is an arithmetic sequence?

• 3, 6, 2, 7, ...

• 3, 6, 12, 24, ...

• 3, 6, 10, 15, ...

• 3, 7, 11, 15, ...

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a₇ ?

• -13

• -11

• -18

• -22

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?

• 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)

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

• a₂₂ = -61

• a₂₂ = 61

• a₂₂ = -1

• a₂₂ = -51

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

• f (1) = 7

  f (n) = f (n − 1) − 5

• f (1) = 22

  f (n) = f (n − 1) − 5

• f (1) = 7

  f (n) = f (n − 1) + 5

• f (1) = 22

  f (n) = f (n − 1) + 5

What is the common ratio of this geometric sequence?

500, 200, 80, 32, ...

• -5/2

• -2/5

• 2/5

• 5/2

Which sequence is a geometric sequence with a common ratio of 2?

• 5, 3, 1, -1, ...

• 5, 7, 9, 11, ...

• 5, 10, 20, 40, ...

• 5, 15, 45, 135, ...

In a geometric sequence, a₄ = −9, a₅ = −27, and a₆ = −81. What is the recursive formula for this sequence?

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Which of the following best describes this sequence?

 $\left\{2,\ -4,\ \ 8,\ -16,\ 32,\ ...\right\}$  

• Arithmetic

• Geometric

• Neither

• Both

Which of the following best describes this sequence?

 $\left\{32,\ 20,\ 8,\ -4,\ ...\right\}$  

• Arithmetic

• Geometric

• Neither

• Both