Quiz about Geometric Sequence Pattern

Question 1

Which kind of sequence has a common ratio?

Accepted Answer

Geometric

Answer

Arithmetic

Question 2

Is the sequence-4, -12, -36, -108,... arithmetic geometric, or neither?

Accepted Answer

geometric

Answer

arithmetic

Answer

neither

Question 3

The next term of the sequence 2,4,8,16 is

Accepted Answer

32

Answer

64

Answer

108

Answer

20

Question 4

Now we will look at our OTHER type of sequence... We know arithmetic sequences have an adding pattern... Well GEOMETRIC sequences have a MULTIPLYING pattern. Given the sequence 3, 6, 12, 24, ..., what is the common ratio? Hint: A common ratio is the sequence's multiplier.

Accepted Answer

2

Answer

4

Answer

6

Answer

8

Question 5

Name the Sequence:

300, 150, 75, 37.5.....

Accepted Answer

B. Geometric

Answer

A. Arithmetic

Answer

C. Recursive

Answer

D. Explicit

Question 6

Given the geometric sequence 2, 6, 18, ..., write an explicit formula.

Accepted Answer

$$a_n=2\left(3\right)^{n-1}$$

Answer

$$a_n=6\left(2\right)^{n-1}$$

Answer

$$a_n=2\left(6\right)^{n-1}$$

Answer

$$a_n=3\left(2\right)^{n-1}$$

Question 7

Given the geometric sequence 64, 16, 4, 1, ..., write an explicit formula.

Accepted Answer

$$a_n=64\left(\frac{1}{4}\right)^{n-1}$$

Answer

$$a_n=64\left(4\right)^{n-1}$$

Answer

$$a_n=4\left(64\right)^{n-1}$$

Answer

$$a_n=\frac{1}{4}\left(64\right)^{n-1}$$

Question 8

Given the geometric sequence 1, 5, 25, 125, ..., write an explicit formula.

Accepted Answer

$$a_n=1\left(5\right)^{n-1}$$

Answer

$$a_n=5\left(5\right)^{n-1}$$

Answer

$$a_n=5\left(1\right)^{n-1}$$

Answer

$$a_n=1\left(1\right)^{n-1}$$

Question 9

Given the geometric sequence 80, 40, 20, 10, ..., write an explicit formula.

Accepted Answer

$$a_n=80\left(\frac{1}{2}\right)^{n-1}$$

Answer

$$a_n=\frac{1}{2}\left(80\right)^{n-1}$$

Answer

$$a_n=80\left(2\right)^{n-1}$$

Answer

$$a_n=2\left(80\right)^{n-1}$$

Question 10

What is the fifth term for the sequence below?

Accepted Answer

a5 = 80

Answer

a5 = 160

Answer

a5 = 40

Answer

a5 = 10

Question 11

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 12

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

Accepted Answer

6,561

Answer

19,683

Answer

2,187

Answer

729

Question 13

Which of the following best describes this sequence?

Accepted Answer

A geometric sequence with a common ratio of $$\frac{1}{3}$$

Answer

An arithmetic sequence with a common ratio of $$\frac{1}{3}$$

Answer

A geometric sequence with a common difference of 3.

Answer

An arithmetic sequence with a common difference of 3.

Question 14

What kind of sequence is the pattern 400, 200, 100, 50, 25, ...?

Accepted Answer

Geometric

Answer

Arithmetic

Answer

Neither

Question 15

What is the common ratio for the sequence:
3, 15, 75...

Accepted Answer

5

Answer

12

Answer

1/5

Answer

10

Question 16

What is the common ratio for the sequence:
28, -14, 7, -3.5...

Accepted Answer

- 1/2 (or -0.5)

Answer

1/2 (or 0.5)

Answer

-14

Answer

-7

Question 17

Find the common ratio of the geometric sequence: -2, -4, -8, -16, . . .

Accepted Answer

2

Answer

-2

Answer

4

Answer

-4

Question 18

Decide what kind of sequence this is.
What is the recursive form for the following sequence
3, 15, 75, 375, 1875...

Accepted Answer

a_n= 5*a_n-1

Answer

a_n= (1/5)*a_n-1

Answer

a_n= a_n-1+5

Answer

a_n= a_n-1- 5

Question 19

What is the missing term in the following geometric sequence 4, ____, 64, 256

Accepted Answer

16

Answer

8

Answer

2

Answer

32

Question 20

The common ratio r stands for the...

Accepted Answer

the number that is multiplies by in a geometric sequence

Answer

first difference

Answer

second difference

Geometric Sequence Pattern

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