Understanding and applying geometric series

On the first day posted online a music video got 320 views. The number of views increased each day by 5%. How many TOTAL views will the video get over the first 29 days? Which formula works?

• $S_n=\frac{320-320\left(.95\right)^{29}}{1-.95}$

• $a_n=320\left(1.05\right)^{29}$

• $S_n=\frac{320-320\left(1.05\right)^{29}}{1-1.05}$

• $a_n=320\left(.95\right)^{29}$

Determine the number of terms, n , for the given finite geometric sequence.

• 6

• 5

• 4

• 3

What is the formula for the sum of the first n terms of a geometric sequence?

• $ar^n$
  

• $ar^{n-1}$
  

• $\frac{a\left(1-r^n\right)}{1-r}$

• None of these

Find the sum of geometric series.

−2 + 6 − 18 + 54 −162

• -118

• 5

• -122

• 201

Find the sum of the first 15 numbers in this sequence:

 $\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+\frac{1}{32}+.\ .\ .$  

•  $\left(\frac{1}{2}\right)^{-15}$  
  

•  $2^{-15}$  
  

•  $\left(\frac{1}{2}\right)^{14}$  
  

•  $2^{14}$  
  

What is the sum?
 $\frac{4}{5}+\frac{1}{5}$  

•  ^{$\frac{5}{10}$} 

•  ^{$\frac{1}{2}$} 

• 1

•  _{$\frac{4}{5}$} 

Evaluate the geometric series described.

3+15+75+375+..., n=6

• 11,718

• 9,769

• 10,603

• -3/4

What is the sum of the first three terms of the sequence 3, 15, 75,375...?

• 15

• 67

• 93

• 125

Evaluate.

• 5461

• 800

• 4095

• 6241

The following geometric series has seven terms. Find the sum. $54\ +\ 36\ +\ ...\ +\frac{128}{27}$  

•  $\frac{4118}{27}$  

•  $\frac{1274}{3}$  

•  $\frac{1370}{9}$  

•  $\frac{8241}{54}$