Geometric Series

Evaluate the geometric series described.
 $3+15+75+375...,\ \ \ \ n=6$  

• 11,718

• 10,603

• 9,769

•  $-\frac{3}{4}$  

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

 $a_1=-2,\ \ \ r=-2,\ \ \ S_n=22$  Determine the number of terms n in the series

• 6

• 7

• 8

• 5

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

 $a_1=3,\ \ \ r=5,\ \ \ n=7$  Evaluate

•  $58,593$  

•  $52,120$  

•  $41,923$  

•  $54,646$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSA.SSE.A.1

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

• -28,056

• -29,523

• -31,724

• -30,628

Tags

CCSS.HSA.SSE.B.4

 $-3,\ \ 6,\ -12,\ \ 24,\ ....$  Find the common ratio

• 3

• -2

• 2

•  $\frac{1}{2}$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

 $-4,\ -12,\ -36,\ -108,\ ...$  Find the common ratio

•  $r=-2$   

•  $r=-3$  

•  $r=3$  

•  $r=2$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

 $4,\ 24,\ 144,\ 864,\ ...$  Find the next 3 terms

•  $1024,\ \ 4096,\ \ 16384$  

•  $256,\ 1024,\ 4096$  

•  $256,\ -1024,\ 4096$  

•  $5184,\ 31104,\ 196624$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.1

 $1,\ -2,\ 4,\ -8,\ ...\ \ Find\ a_{11}$  

•  $-512$  

•  $-1024$  

•  $1024$  

•  $512$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

CCSS.HSF.IF.A.3