Geometric Series

Find the common ratio: 16, 8, 4, 2, ...

• r = 2
• r = 8
• r = 1/4
• r = 1/2

Tags

CCSS.HSF.BF.A.2

Find the common ratio: -3, -9, -27, -81, ...

• r = 6
• r = -6
• r = 3
• r = -3

Tags

CCSS.HSF.BF.A.2

The sum of the terms in a sequence is known as a Series

• True

• False

Tags

CCSS.HSA.SSE.B.4

Evaluate the geometric series below for  $S_6$ :
-2 - 10 - 50 - 250..., 

• -7812

• -9678

• -8686

• -9932

Evaluate the geometric series below for  $S_8$  :
-1 - 3 - 9 - 27..., 

• -3280

• -3135

• -3323

• -3343

Evaluate the geometric series below for  $S_9$  :
4 - 16 + 64 - 256..., 

• 223444

• 230679

• 204516

• 209716

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

•  $\frac{1}{3}$  

• -86

• -87

• -85

Tags

CCSS.HSA.SSE.B.4

Find

 $S_{11}$  for =100, 50, 25 ...
Round to the nearest thousandth.

(a)  

Answer explanation

 $S_{11}=\frac{100-100\left(0.5\right)^{11}}{1-0.5}$