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Worksheets

GEOMETRIC SEQUENCE

Total questions: 25

Worksheet time: 15mins

Name
Class
Date
1.

What is the common ratio 8, -8, 8, -8, 8,...?

a)

-8

b)

1

c)

-1

d)

8

2.

Which sequence where each term is found by multiplying or dividing the same value from one term to the next.

a)

Arithmetic

b)

Geometric

c)

Fibonacci

d)

Harmonic

3.

Which of the following is an alternating geometric sequence?

a)

3, -4, 5, -6, 7

b)

2, -4, 8, -16

c)

1, 1, 1, 1, 1, 1

d)

1, 5, 25, 125

4.

Find the missing terms -8, -4,_,_,_.

a)

2, -1, -1/2

b)

-2, 2, 4

c)

-2, 0, 2

d)

-3, 0, 3

5.

Find the ratio of this sequence 3, -9, 27, -81,...

a)

-1

b)

-3

c)

-2

d)

-6

6.

An arithmetic sequence is a sequence where every term is obtained by _ a fixed term to/form the previous term.

a)

adding/subtracting

b)

adding/multiplying

c)

adding/dividing

d)

adding

7.

Geometric sequence is a sequence where every term is obtained by _ the previous number by a fixed and non-zero number.

a)

adding

b)

multiplying

c)

subtracting

d)

dividing

8.

Find the missing term 6, 9, 12,_,_,_.

a)

15, 18, 21

b)

11, 14, 17

c)

14, 16, 18

d)

10, 13, 15

9.

This sequence 7, 15, 23, 31,... is a _.

a)

Arithmetic

b)

Geometric

c)

Fibonacci

d)

Harmonic

10.

Find the common ratio of this sequence 5, 10, 20, 40, 80,...

a)

6

b)

2

c)

3

d)

1

11.

In a geometric sequence, each term is obtained by adding a fixed number to the preceding term.

a)

True

b)

False

12.

The general form of a geometric sequence is an=a1 xr (n-1) where an is the nth term, a1 is the first term, r is the common ratio, and n is the term number

a)

True

b)

False

13.

The ratio between any term and its preceding term in a geometric sequence is constant.

a)

True

b)

False

14.

Geometric sequence can have both positive and negative common ratios.

a)

True

b)

False

15.

A geometric sequence can have a common ratio of 1.

a)

True

b)

False

16.

In a geometric sequence, the sum of the first n terms can be calculated using the formula

sn=a1 x (rn-1)/r-1

a)

True

b)

False

17.

If the first term of geometric sequence is 5 and the common ratio is 0.5, the second term is 2.5.

a)

True

b)

False

18.

If the common ratio of geometric sequence is greater than 1, the sequence will be increasing.

a)

True

b)

False

19.

If the common ratio of a geometric sequence is between 0 and 1, the sequence will be decreasing.

a)

True

b)

False

20.

A geometric sequence can have a common ratio of 0.

a)

True

b)

False

21.

The first term of a geometric sequence is _

(a)  

22.

The common ratio of a geometric sequence is _.

(a)  

23.

The nth term of a geometric sequence is given by the formula_.

(a)  

24.

To find the sum of the first n terms of a geometric sequence, we use the formula_.

(a)  

25.

A geometric sequence where the absolute value of the common ratio is greater than 1 is.

(a)