Sequences and Series Practice

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

Is the sequence convergent or divergent?

• Convergent

• 

Determine whether the sequence is convergent or divergent:

a_n=2 (⅓)^n-1

• Convergent

• 

Evaluate the infinite geometric series:

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

• 5/4

• 9/5

• 5/6

• 65/27

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

• 4/5

• 5

• 6.5

• Does not exist

Identify the common difference.
97, 86, 75, 64, ...

• 8
• 11
• -11
• -8

The next term of the sequence 2,4,8,16 is

• 64

• 32

• 108

• 20

Is the sequence 2, 4, 12, 48,... geometric?

• yes
• no

What is the common ratio for the sequence:
28, 14, 7, 3.5...

• 2
• 1/2
• -14
• -7

What is the sum of the first 50 terms of the series 2 + 17 + 32 + 47 + ...?

• 1,600
• 18,235
• 18,475
• 19,125