Review Sequences and Series

What is the 76^th term of the following arithmetic sequence?

• 76

• 452

• 458

• 476

What is a₁ in the following sequence?

• -6

• -14

• -22

• -30

Find the pattern: 29, 21, 13, 5, ...

• -10

• -9

• -8

• -7

Write the explicit formula for the geometric sequence.

• a_n = 10(2)^n-1

• a_n = 2(10)^n-1

• a_n = 10(2)ⁿ

• a_n = 2(10)ⁿ

Write the explicit formula for the geometric sequence.

• a_n = 4(3)^n-1

• a_n = 3(4)^n-1

• a_n = -4(3)^n-1

• a_n = 3(-4)^n-1

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

• 1024, 2048, 4096

• 32, 8, 2

• 64, 32, 16

• 92, 66, 38

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

Which of the following statements is true to all geometric sequences?

• If the common ratio is negative, then the sequence is increasing.

• If the common ratio is negative, then all the terms of the sequence is also negative.

• . If the common ratio is less than one, then the sequence is decreasing.

• If the common ratio is less than one, then the sequence is increasing.

What is the explicit formula for the sequence?

What is the explicit formula for the sequence?