Geometric Sequences and Series

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

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

You have $10 in you bank account.  It doubles every month.  How much money will you have after 5 months?

• $50
• $35
• $320
• $250

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 sum of the infinite geometric series, if it exists:

5 + 4 + 3.2 + 2.56 + ...

• 25

• 5

• -1

• 0.8

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

What is the sum of the first 10 terms for the following geometric series:
2-6+18-54+...

• 59048
• -29524
• 524288
• 3069

Tags

CCSS.HSA.SSE.B.4

What is the value of r for the following sequence.
1/2+1/4+1/8+1/16+...

• 2
• -2
• 1/2
• -1/2

The third term of a geometric sequence is 96 and the fifth term is 1536.  What is the sum of the first ten terms of the sequence?

• 4,092
• 1,572,864
• 2,097,150
• 33,554,400

Tags

CCSS.HSA.SSE.B.4