Quiz about Geometric Sequences Lesson

Question 1

What does r represent?

Accepted Answer

Common ratio

Answer

Radical

Answer

Common difference

Question 2

What does a₁ represent?

Accepted Answer

First term

Answer

Any term

Answer

Last term

Question 3

Find the common ratio for the geometric sequence.

Accepted Answer

2

Answer

10

Answer

1/2

Answer

4

Question 4

Is the sequence -432, 72, -12, 2,...geometric?

Accepted Answer

yes

Answer

no

Question 5

What are the next 3 terms in the following geometric sequence:

512, 256, 128, ___, ___, ___, ...

Accepted Answer

64, 32, 16

Answer

1024, 2048, 4096

Answer

32, 8, 2

Answer

92, 66, 38

Question 6

Write the explicit formula for the geometric sequence.

Accepted Answer

a_n = 3(-4)^n-1

Answer

a_n = 4(3)^n-1

Answer

a_n = 3(4)^n-1

Answer

a_n = -4(3)^n-1

Question 7

Find the first four terms of the sequence given the rule:
a_n = 4(5)^n-1

Accepted Answer

4, 20, 100, 500

Answer

20, 100, 500, 2500

Answer

5, 20, 80, 320

Answer

4, 9, 14, 19

Question 8

What is the 14th term of the geometric sequence?

Accepted Answer

4,782,969

Answer

14,348,907

Answer

1,594,323

Answer

45

Question 9

Given the sequence:

125, 25, 5, ....

Write the rule a_n using the geometric sequence formula:

Accepted Answer

a_n = (125)(1/5)^(n-1)

Answer

a_n = 625(1/5)^(n-1)

Answer

a_n = 625(5)^(n-1)

Answer

a_n = 125 + 5n

Question 10

Find a₁₂ in the sequence -1, -3, -9, -27, ...

Accepted Answer

-177,147

Answer

-19,683

Answer

-59,049

Answer

118,098

Question 11

The rule for finding a_n of a geometric sequence is

a_n = 10(2)^n-1_{What is the common ratio(r) of the sequence?}

Accepted Answer

2

Answer

10

Answer

20

Answer

2n

Question 12

A geometric sequence has a common ration(r) of 3 and the 8th term (a₈) is 13,122. What is the first term of the sequence (a₁)?

Accepted Answer

6

Answer

3

Answer

18

Answer

2

Question 13

What is the 9^th term in a geometric sequence with a common ratio of 2 and a first term of 3?

Accepted Answer

768

Answer

384

Answer

1,536

Answer

27

Question 14

Daisy received $2 on her first birthday. Each year, the amount of money she received tripled. How much money will she receive on her 5^th birthday?

Accepted Answer

$162

Answer

$10

Answer

$300

Answer

$416

Question 15

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

arithmetic

Answer

geometric

Answer

neither

Question 16

Determine whether the sequence is arithmetic, geometric, or neither.

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 17

Find the common ratio for the geometric sequence.

Accepted Answer

-1

Answer

1

Answer

7

Answer

-7

Question 18

Write the nth term rule for the geometric sequence.

Accepted Answer

a_n = 7(-1)^n-1

Answer

a_n = 7(1)ⁿ

Answer

a_n = 7(-1)ⁿ

Answer

a_n = -1(7)^n-1

Question 19

Find a₉ for the following sequence... 1, 4, 16, 64....

Accepted Answer

65536

Answer

262144

Answer

.25

Answer

4

Question 20

If a₇=68 and r = 1/2.... Find a₁.

Accepted Answer

4352

Answer

.015625

Answer

4350

Answer

.0156

Question 21

If a₄=32 and r = 3, find a₁.

Accepted Answer

32/27

Answer

32/9

Answer

27/32

Answer

9/32

Question 22

Find the 10th term of this sequence:
{96, 48, 24, 12, ... }

Accepted Answer

3/16

Answer

1/2

Answer

6

Answer

3

Question 23

In a geometric sequence, if a₅ = 32, and the common ratio is 2, find the 7th term.

Accepted Answer

128

Answer

2

Answer

64

Answer

32

Question 24

Find a₉ in the sequence 4, 8, 16, 32, ...

Accepted Answer

1,024

Answer

384

Answer

512

Answer

768

Question 25

Find a₁₁ in the sequence -3, 6, -12, 24

Accepted Answer

-3,072

Answer

-4,096

Answer

-¹/₂₅₆

Answer

-236,196

Question 26

Find a₁₂ in the sequence -1, -3, -9, -27, ...

Accepted Answer

-177,147

Answer

-19,683

Answer

-59,049

Answer

118,098

Geometric Sequences Lesson

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