Practice: Geometric Series

Evaluate the infinite geometric series:

1 + 1/5 + 1/25 + ...

• 5/4

• 9/5

• 5/6

• 65/27

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Evaluate the infinite geometric series:

3 - 2 + 4/3 - 8/9 + ...

• 5/4

• 9/5

• 5/6

• 65/27

Tags

CCSS.HSF.BF.A.2

Find the sum of the infinite geometric series, if it exists. $\sum_{n=1}^{\infty}8\left(\frac{1}{5}\right)^{n-1}$  

• 8

• 8/5

• 10

• Does not exist

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the sum of the infinite geometric series, if it exists. $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...$  

• 205

• 19.5

• 108.75

• Does Not Exist

 $\sum_{k=1}^{\infty}\left(\frac{4}{5}\right)^{k-1}$  Find the sum of the series if it exists.

• 4/5

• 5

• 6.5

• Does not exist

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series described.
 $3+15+75+375...,\ \ \ \ n=6$  

• 11,718

• 10,603

• 9,769

•  $-\frac{3}{4}$  

Tags

CCSS.HSA.SSE.B.4

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

•  $\frac{1}{3}$  

• -86

• -87

• -85

Tags

CCSS.HSA.SSE.B.4

Evaluate  $\sum_{k\ =\ 1}^7\left(-2\right)^{k\ -1\ }$  

• 44

•  $\frac{1}{3}$  

• 43

• 49

Tags

CCSS.HSA.SSE.B.4

Evaluate the series described. $a_1=3,\ \ \ r=5,\ \ \ n=7$  

•  $58,593$  

•  $52,120$  

•  $41,923$  

•  $54,646$  

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

Find the sum of the finite geometric series:

• 88419

• 78124

• 91846

• 92234

Tags

CCSS.HSA.SSE.B.4