Understanding and applying geometric series

Evaluate the infinite series described: 

• No Sum
• 0
• -1/9
• -4/25

Find the sum of the following infinite geometric series.
 $-9+8-\frac{64}{9}+\frac{512}{81}-....$  

• -9

•  $-\frac{81}{17}$  

•  $-\frac{17}{81}$  

•  $-\frac{1}{81}$  

determine whether this infinite geometric series is ... { 2 + 3 + 4.5 ..... }

• convergent

• divergent

• none of the above

• I have no idea

Infinite Geometric Series formula:

Determine if the series converges or diverges

• Converges
• Diverges

Which of the following does the sum DOES NOT exist?

• 2+4+8+16+...

• 25+5+1+0.2+...

• 100+50+25+5+...

• 3(.25)ⁿ = A_n

Evaluate the infinite series described: 

• No Sum
• 32/3
• 2/3
• 34/3

Which statement is true about the sequence shown below?
0, 4.5, 12, 22.5, ...

• The series converges because the limit of the sequence as n approaches infinity is infinity.
• The series converges because the limit of the sequence as n approaches infinity is 30.
• The series diverges because the limit of the sequence as n approaches infinity is infinity.
• The series diverges because the limit of the sequence as n approaches infinity is 30.

Evaluate the infinite series described: 

• No Sum
• 0
• -1/9
• -4/25

Find the sum of the infinite geometric series.
 $\sum_{n=0}^{\infty}4\left(-\frac{3}{4}\right)^n$  

•  $-\frac{16}{7}$  

•  $\frac{16}{7}$  

•  $\frac{4}{7}$  

•  $-\frac{4}{7}$