Geometric Series

Find the sum of the finite geometric series:

• 88419

• 78124

• 91846

• 92234

Tags

CCSS.HSA.SSE.B.4

What is the sum of the first ten terms of the sequence 4, -12, 36, -144 . . . ?

• 59,050
• -59,048
• -78,732
• 118,096

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series $1-2+4-8,\ ...,\ \ \ \ \ \ \ n=8$  

•  $\frac{1}{3}$  

• -86

• -87

• -85

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

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

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

CCSS.HSA.SSE.A.1

Which of the series below is CONVERGENT?

• a₁=4, 1.5a_n-1, n≥2
• a_n=-n²- 8n +106
• a_n = 5/10ⁿ
• a_n = 5n + 6

Tags

CCSS.HSF.LE.A.3

Which of the following is DIVERGENT?

• 2+4+8+16+...

• 25+5+1+0.2+...

• 100+50+25+5+...

• 3(.25)ⁿ = A_n

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.1

Evaluate (find the sum) of this geometric series.

• 36352

• 52428

• 46121

• 41131

• -4/5

Tags

CCSS.HSA.SSE.B.4

Is the sequence convergent or divergent?

• Convergent

• 

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3