Sequence and Series

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

• 8
• 11
• -11
• -8

Find the next term of the sequence:

2, 4, 8, 16, ...

• 64

• 32

• 108

• 20

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81
• 79, 88, 97
• 70, 79, 88
• 61, 70, 79

What is the common ratio for the following sequence?

28, 14, 7, 3.5...

• 2

• 1/2

• -14

• -7

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

• 324, 972, 2916
• 972, 2916, 8748
• 405, 1215, 3645

Find the 22nd term of the following sequence:

5, 8, 11, ...

Hint: Write the explicit rule where n=1, then solve for n=22.

• 14

• 65

• 68

• 71

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

• 16 and 19
• 15 and 19
• 16 and 18
• 15 and 18

Determine whether the sequence is arithmetic, geometric, or neither.

• Arithmetic

• Geometric

• Neither

Write the explicit formula for the geometric sequence that starts at n=0.

• f(n) = 10(2)^n-1 where n≥1

• f(n) = 2(10)^n-1 where n≥1

• f(n) = 10(2)ⁿ where n≥0

• f(n) = 2(10)ⁿ where n≥0

To find find the common ratio,r, of a geometric function you must

• divide the 1st number by the 2nd number

• divide the 2nd number by the 1st number

• add the 1st number and the 2nd number

• multiply the 1st number by the 2nd number