Finding Sums of Infinite Geometric Series

Consider the infinite Geometric series. Find the partial sum  $S_n$   for  $n=4$  
 $4+\frac{12}{5}+\frac{36}{25}+\frac{108}{125}+\frac{324}{625}$  

• 8.70

•  $\frac{108}{125}$  

• 0.864

• 7.864

Tags

CCSS.HSA.SSE.B.4

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.HSF.BF.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

Write the repeating decimal as a fraction in simplest form.

0.222

• $\frac{11}{50}$

• $\frac{22}{100}$

• $\frac{2}{9}$

• $\frac{12}{31}$

Write the repeating decimal as a fraction in simplest form.

32.323232...

• $32\ \frac{32}{100}$

• $32\ \frac{32}{99}$

• $32\ \frac{3}{8}$

• $32\ \frac{3}{11}$

Consider the infinite geometric series. Find the 5th partial sum.

 $1,\ -\frac{1}{4},\ \frac{1}{16},\ -\frac{1}{64},\ \frac{1}{256},...$  

• 0.59

• 0.68

• 0.75

• 0.80

Tags

CCSS.HSA.SSE.B.4

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

• 4/5

• 5

• 6.5

• Does not exist

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

The work in this class for E-Learning is (blank) than other classes.

• Much More

• A Bit More

• About the Same

• A Little Less

• A Lot Less