Quiz about Geometric Sequences and Series

Question 1

The n^th term of a geometric sequence is given by ...

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 2

The sum of an finite Geometric series is given by:

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 3

The sum of an infinite Geometric series is given by:

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 4

Is the given sequence geometric?

Accepted Answer

No

Answer

Yes

Answer

Cannot be determined

Question 5

Is the given sequence geometric?

Accepted Answer

Yes

Answer

No

Answer

Cannot be determined

Question 6

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

Accepted Answer

1 , 3 , 9 , 27 , 81

Answer

1 , 3 , 6 , 9 , 12

Answer

3 , 9 , 27 , 81 , 243

Answer

0 , 1 , 3 , 9 , 27

Question 7

List the first five terms of the geometric sequence. Assume that the sequence begins at n = 1.

Accepted Answer

2 , 1/2 , 1/8 , 1/32 , 1/128

Answer

1/2 , 1/8 , 1/32 , 1/128 , 1/256

Answer

8 , 2 , 1/2 , 1/8 , 1/32

Answer

2 , 8 , 32 , 128 , 256

Question 8

What is the 8^th term in the geometric sequence ?

Accepted Answer

49,152

Answer

196,608

Answer

12,288

Answer

8748

Question 9

What is the 8^th term in the geometric sequence ?

Accepted Answer

32,768

Answer

32, 876

Answer

68,327

Answer

73,268

Question 10

Evaluate the 5^th partial sum of the given geometric sequence: 2 , 12 , 72 , ...

Accepted Answer

3110

Answer

2592

Answer

18,662

Answer

cannot be determined

Question 11

Given the recursive formula for a geometric sequence, find the first five terms and the explicit formula.

Accepted Answer

2 , 10 , 50 , 250 , 1250

Accepted Answer

Option D is correct

Answer

2 , 7 , 12 , 17 , 22

Answer

1 , 2, 10, 50, 250

Answer

E.

Question 12

Evaluate.

Accepted Answer

5461

Answer

800

Answer

4095

Answer

6241

Question 13

Evaluate.

Accepted Answer

-239,945

Answer

-293,495

Answer

-299,354

Answer

-329,945

Question 14

Evaluate the 7th partial sum of the given sequence ?

Accepted Answer

13,021

Answer

12, 031

Answer

11, 321

Answer

10,213

Question 15

Determine the sum of the finite geometric sequence.

Accepted Answer

13,120

Answer

13,021

Answer

12,031

Answer

11,320

Question 16

Determine the number of terms, n , for the given finite geometric sequence.

Accepted Answer

6

Answer

5

Answer

4

Answer

3

Question 17

Determine the number of terms, n , in the given finite geometric sequence.

Accepted Answer

3

Answer

4

Answer

5

Answer

6

Question 18

Does the series converge or diverge?

Accepted Answer

Diverge

Answer

Converge

Answer

Cannot be determined

Question 19

Does the series converge or diverge ?

Accepted Answer

Converge

Answer

Diverge

Answer

Cannot be determined

Question 20

Evaluate the geometric series, if possible.

Accepted Answer

5/2

Answer

2/5

Answer

4

Answer

Not Possible

Question 21

Evaluate the geometric series, if possible.

Accepted Answer

12/7

Answer

7/12

Answer

2

Answer

Not Possible

Question 22

Evaluate the series, if possible.

Accepted Answer

Not Possible

Answer

64

Answer

128

Answer

256

Question 23

Evaluate the geometric series, if possible.

Accepted Answer

3/2

Answer

2/3

Answer

6

Answer

Not Possible

Question 24

Determine the common ratio, r , for the given geometric sequence.

Accepted Answer

-1/2

Answer

1/2

Answer

-2/3

Answer

-1/4

Geometric Sequences and Series

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