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Finding the Nth Term of a Geometric Sequence

Total questions: 12

Worksheet time: 12mins

Name
Class
Date
1.

Which of the following is the formula for finding any term of a geometric sequence?

a)

an = an-1 + d

b)

an = a1 + d(n-1)

c)

an = a1 x rn-1

d)

an = an-1 x r

2.

What is the formula for finding the nth term of a geometric sequence?

a)

an = a1 + (n - 1)d

b)

an = d + (n - 1)d

c)

an = a1rn-1

d)

an = a1nr-1

3.

In the formula for finding the nth term of a geometric sequence, what does r represent?

a)

common difference

b)

common sum

c)

common rational

d)

common ratio

4.

What do you call a sequence in which a succeeding term is obtained after multiplying the preceding term by a constant number

a)

arithmetic

b)

geometric

c)

fibonacci

d)

harmonic

5.

What do you call the constant that is multiplied by the preceding term to get the next term in a geometric sequence?

a)

common ratio

b)

common difference

c)

common distance

d)

common factor

6.

Find the 5th term in a geometric sequence with a1 = 4 and r= -3.

(a)  

7.

Given the sequence below, what is a2?

a)

4

b)

2

c)

1

d)

1/2

8.

The formula for the nth term of a geometric sequence is given by an=a1rn−1a_n=a_1r^{n-1} . What does "r" represent?

a)

common difference

b)

nth term

c)

common ratio

d)

first term

9.

Given the geometric sequence 2, 6, 18, n, 162, ..., what is the value of n?

a)

54

b)

90

c)

24

d)

36

10.

What is the value of the 4th term if a1 = 4 and r = 6 ?

a)

124

b)

144

c)

384

d)

864

11.

What is the common ratio of a geometric sequence if a6 = - 96 and a9 = 768?

a)

8

b)

2

c)

- 2

d)

- 2

12.

Find the common ratio of the geometric sequence:

64, - 16, 4, - 1, ...

a)

r = - 8

b)

r = - 1/4

c)

r = - 4

d)

r = 4