GEOMETRIC SERIES

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

• 3

• -2

• 2

•  $\frac{1}{2}$  

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

What is the sum of the first three terms of the sequence 3, 15, 75,375...?

• 15

• 67

• 93

• 125

Tags

CCSS.HSA.SSE.B.4

Find the sum of the geometric series.

2 + 12 + 72 + 432

• 432

• 518

• 211

• 438

Tags

CCSS.HSA.SSE.B.4

Find the sum of the n terms when

a₁=4 , r = -5 and n = 4

• 416

• -416

• 775

• -775

Tags

CCSS.HSA.SSE.B.4

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

• 195
• 172
• 202
• 145

Find the sum of the infinite geometric series, if it exists. $\frac{1}{2}-\frac{5}{3}+\frac{50}{9}-\frac{500}{27}+...$  

• 205

• 19.5

• 108.75

• Does Not Exist

Find the next three terms of the geometric sequence: -4, -12, -36, -108, ...

• 36, -108, 324
• -324, -972, -2916
• 324, -972, 2916
• -108, 324, -972

Tags

CCSS.HSF.BF.A.2

A geometric series begins with 4, ends with 1/64, and has a common ratio of one half. Which geometric series is correct?

• 4+2+1+1/2+1/4+1/8+1/16+1/32+1/64

• 4-2+1-1/2+1/4-1/8+1/16-1/32+1/64

• 4+2+1/2+1/4+1/8+1/16+1/32+1/64

• 4+2+1+1/2+1/4+1/16+1/64

Tags

CCSS.HSA.SSE.B.4

Build the series knowing that it has 5 terms, starts with -2 and has a common ratio of -4.

• -2 - 8 - 32 - 128 - 512

• -2 + 8 - 32 + 128 - 512

• 2 + 8 + 32 + 128 + 512

• -2 + 8 + 32 - 128 + 512

Tags

CCSS.HSF.BF.A.2

A bouncing ball reaches heights of 16 cm, 12.8 cm, and 10.24 cm on three consecutive bounces. If the ball was originally dropped from 25 cm (a₁ = 25), how much total distance in the downward direction has the ball traveled after five bounces? 

• 25 cm
• 84.04 cm
• 53.7956 cm
• 59.04 cm

Tags

CCSS.HSF.BF.A.2