Arithmetic and Geometric Sequences and Series Review

Evaluate the geometric series described.

3+15+75+375+..., n=6

• 11,718

• 9,769

• 10,603

• -3/4

Evaluate the geometric series

1-2+4-8..., n=8

• 1/3

• -87

• -86

• -85

a₁=2, r=−2, Sn = 22

Determine the number of terms n in the series

• 6

• 8

• 7

• 5

−4, −12, −36, −108, ...

Find the common ratio

• r=−2

• r=3

• r=−3

• r=2

4, 24, 144, 864, ...

Find the next 3 terms

• 1024, 4096, 16384

• 256, −1024, 4096

• 256, 1024, 4096

• 5184, 31104, 196624

1, −2, 4, −8, ... Find a₁₁

• −512

• 1024

• −1024

• 512

Which of the following is not an Arithmetic Progression?

• 1, 4, 7, 10, .....

• 3, 7, 12, 16, ......

• -5, -2, 1, 4, .....

• 11, 14, 17, 20, .....

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

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 first four terms of the sequence given the rule:
a_n = 4(5)^n-1

• 20, 100, 500, 2500

• 5, 20, 80, 320

• 4, 20, 100, 500

• 4, 9, 14, 19