Sequences and Series Arithmetic and Geometric

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

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

Find the 10th term.

• 16

• 21

• 12

• 30

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

• 32

• 64

• 127

• 356

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14