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Geometric Sequence

Total questions: 10

Worksheet time: 11mins

Name
Class
Date
1.

This refers to the number that is being multiplied to obtain a geometric sequence..

a)

number of terms

b)

common denominator

c)

common difference

d)

common ratio

2.

Which of the following statements is true to all geometric sequences?

a)

If the common ratio is negative, then the sequence is increasing.

b)

If the common ratio is negative, then all the terms of the sequence is also negative.

c)

. If the common ratio is less than one, then the sequence is decreasing.

d)

If the common ratio is less than one, then the sequence is increasing.

3.

If the common ratio of a sequence is –3 and the first term is 3, then the fourth term is ___.

a)

27

b)

-27

c)

-81

d)

81

4.

Which of the following is an example of a geometric sequence?

a)

2, 4, 6, 8, …

b)

12, 8, 4, 0, …

c)

14,12,1, 2, ...\frac{1}{4},\frac{1}{2},1,\ 2,\ ...

d)

1,12,13,14, ...1,\frac{1}{2},\frac{1}{3},\frac{1}{4},\ ...

5.

Supply the missing term in the sequence to make it a geometric sequence.

a)

2

b)

 12\frac{1}{2}  

c)

3

d)

 13\frac{1}{3}  

6.

Which of the following statements will let you obtain the common difference of an arithmetic sequence?

a)

Divide the first term by the second term of the sequence.

b)

Subtract the first term from the second term of the sequence.

c)

Subtract the second term from the first term of the sequence.

d)

Divide the second term by the first term of the sequence.

7.

 1,12,0, 12,1, ...1,\frac{1}{2},0,\ -\frac{1}{2},-1,\ ...  What is the common difference in the sequence?

a)

-1

b)

 12-\frac{1}{2}  

c)

0

d)

 12\frac{1}{2}  

8.

Which of the following is NOT an arithmetic sequence?

a)

-−1, 0, 1, 2, 3, 4, 5, …

b)

12,12,23, ...-\frac{1}{2},\frac{1}{2},\frac{2}{3},\ ...

c)

0, −2, −5, −9, −14, ...

d)

12,12,32,52, ...\frac{1}{2},-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},\ ...

9.

What term fits on the blank in the sequence ____ , 0, 3, 6, …?

a)

-3

b)

0

c)

3

d)

6

10.

Determine whether the given situation ". Growth of bacteria on a petri dish" is a_____

a)

Arithmetic Sequence

b)

common ratio

c)

Geometric Sequence

d)

common difference