Geometric Series

Evaluate the geometric series below:
a₁ = -2, a_n = -1458, r = 3

• -2186
• -2408
• 1
• -2703

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series below:
4 - 8 - 16 - 32...,  S₇

• 195
• 172
• 202
• 145

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

 $Evaluate\ \ \ \ \ \sum_{i\ =1}^9-3\cdot3^{\ \left(i-1\right)}$  

• -28,056

• -29,523

• -31,724

• -30,628

Tags

CCSS.HSA.SSE.B.4

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

Evaluate the infinite geometric series:

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

• 5/4

• 9/5

• 5/6

• 65/27

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

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

• 4/5

• 5

• 6.5

• Does not exist