Sequences and Series

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

• 8
• 11
• -11
• -8

Tags

CCSS.HSF.BF.A.2

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

• 2
• 1/2
• -14
• -7

Tags

CCSS.HSF.BF.A.2

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

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

Tags

CCSS.HSF.BF.A.2

-21, -16, -11, -6, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 5)

• geometric (common ratio r = 5)

• neither

Tags

CCSS.HSF.BF.A.2

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14
• 68
• 63
• 71

Tags

CCSS.HSF.BF.A.2

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

• 32
• 64
• 127
• 356

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

• 81
• -34
• -146
• -225

Tags

CCSS.HSF.BF.A.2

Find the sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

• 25

• 5

• -1

• 0.8

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

Find the geometric mean of 12 and 192

• 4

• 16

• 48

• 2304

Determine whether the sequence could be geometric or arithmetic:

6, 10, 15, 21, ...

• Geometric with r = 5/3

• Arithmetic with d = 4

• Geometric with r = 4

• Neither

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2