Arithmetic and Geometric Sequence

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Identify the common difference.
3, 7, 11, 15, ...

• 6

• 5

• 4

• 2

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

• 32

• 64

• 127

• 356

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

• 81

• -34

• -146

• -225

The next two terms of the sequence 4,7,10,13 are ....

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4

Find the next three terms: 4, 12, 36, 108, ...

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

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

Find a₉ in the sequence 4, 8, 16, 32, ... 

• 384

• 512

• 768

• 1,024

Find a₁₂ in the sequence -1, -3, -9, -27, ...

• -177,147

• -19,683

• -59,049

• 118,098