Arithmetic and Geometric Sequences

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

• 324, 972, 2916

• 972, 2916, 8748

• 405, 1215, 3645

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

Write the explicit equation for the geometric sequence: 15, 45, 135, . . . ?

Find the 6th term of the following geometric sequence:

2, 8, 32, 128, ...

• 8192

• 2048

• 512

• 128

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

• 8

• 11

• -11

• -8

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

• Arithmetic

• Geometric

• Neither

What is the common ratio for the sequence:
28, -14, 7, -3.5...

• 1/2 (or 0.5)

• - 1/2 (or -0.5)

• -14

• -7

Arithmetic sequences involve

• multiplication and division

• multiplication and addition

• addition and subtraction

• subtraction and division

What is the tenth term in the arithmetic sequence: 12, 19, 26, 33, ... Hint: Find the common difference and then either continue the pattern or write and use an explicit formula.

• 47

• 61

• 75

• 96

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.