Geometric Sequence & Series

Find the common ratio: 16, 8, 4, 2, ...

• r = 2
• r = 8
• r = 1/4
• r = 1/2

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

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

-3 + -3/2 + -3/4 + -3/8...

• -6

• -8

• no sum

• -4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

What is the value of r the common ratio of this series 1+5+25+125,,?

• 1

• 4

• 5

• 156

In the sequence $120,\ 60,\ 30,\ 15,\ ...$  , what is the next term?

•  $\frac{15}{2}$  

•  $15$  

•  $8$  

Find the 9th term in the following geometric sequence:

4, 8, 16, 32, ...

• 384

• 512

• 768

• 1,024

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

The first term of a geometric sequence is 5 and the sixth term is 160.What is the common ratio

• 1

• 2

• 3

• 4

the 12th term of a geometric sequence is 2 and the 15th term is 54. Find the value of common ratio.

• 1

• 2

• 3

• 4

Find the sum of the first 4 terms of the geometric series 1 + 0.5 + 0.25 + ?

• 1.875

• 0.125

• 1.75

• None of these

Evaluate the geometric series $1-2+4-8,\ ...,\ \ \ \ \ \ \ n=8$  

•  $\frac{1}{3}$  

• -86

• -87

• -85

Tags

CCSS.HSA.SSE.B.4