Quiz about Geometric Series Practice

Question 1

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

Accepted Answer

Answer

Answer

Answer

$$\frac{1}{2}$$

Question 2

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

Accepted Answer

93

Answer

15

Answer

67

Answer

125

Question 3

Find the sum of the geometric series.

2 + 12 + 72 + 432

Accepted Answer

518

Answer

432

Answer

211

Answer

438

Question 4

Find the sum of the n terms when

a₁=4 , r = -5 and n = 4

Accepted Answer

-416

Answer

416

Answer

775

Answer

-775

Question 5

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

Accepted Answer

172

Answer

195

Answer

202

Answer

145

Question 6

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

Accepted Answer

Does Not Exist

Answer

Answer

Answer

Question 7

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

Accepted Answer

-324, -972, -2916

Answer

36, -108, 324

Answer

324, -972, 2916

Answer

-108, 324, -972

Question 8

You have P100 in you bank account. It doubles every month. How much money will you have after 5 months?

Accepted Answer

P3100

Answer

P5000

Answer

P3500

Answer

P2500

Question 9

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

Accepted Answer

4+2+1+1/2+1/4+1/8+1/16+1/32+1/64

Answer

4-2+1-1/2+1/4-1/8+1/16-1/32+1/64

Answer

4+2+1/2+1/4+1/8+1/16+1/32+1/64

Answer

4+2+1+1/2+1/4+1/16+1/64

Question 10

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

Accepted Answer

-2 + 8 - 32 + 128 - 512

Answer

-2 - 8 - 32 - 128 - 512

Answer

2 + 8 + 32 + 128 + 512

Answer

-2 + 8 + 32 - 128 + 512

Question 11

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?

Accepted Answer

84.04 cm

Answer

25 cm

Answer

53.7956 cm

Answer

59.04 cm

Question 12

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

Accepted Answer

Answer

$$\frac{1}{3}$$

Answer

Answer

Question 13

Which of the following does the sum DOES NOT exist?

Accepted Answer

2+4+8+16+...

Answer

25+5+1+0.2+...

Answer

100+50+25+5+...

Answer

3(.25)ⁿ = A_n

Question 14

Is the following a geometric series 1, 2, 4, 8,16,,,?

Accepted Answer

No

Answer

Yes

Question 15

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

Accepted Answer

True

Answer

False

Question 16

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

Accepted Answer

Answer

Answer

Answer

$$-\frac{3}{4}$$

Question 17

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

Accepted Answer

Answer

Answer

Answer

Question 18

Evaluate the infinite geometric series:

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

Accepted Answer

9/5

Answer

5/4

Answer

5/6

Answer

65/27

Question 19

What best describes the following infinite geometric series:

1/3 - 1/9 + 1/27 - 1/81 + ...

Accepted Answer

the sum exists

Answer

the sum does not exist

Geometric Series Practice

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