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Worksheets

Arithmetic & Geometric Sequences

Total questions: 8

Worksheet time: 9mins

Name
Class
Date
1.

Which of the following is the general term of the sequence 1, 4, 27, 256, ...?

a)

n

b)

n2

c)

n3

d)

nn

2.

a)

-2

b)

1/3

c)

1/2

d)

3

3.

The general term of an arithmetic sequence is 4- 5n. What is the common difference?

a)

5

b)

4

c)

-1

d)

-5

4.

If x, a, y, 2a are in arithmetic sequence, find the value of x/y.

a)

1/4

b)

1/3

c)

1/2

d)

3

5.

Given that 27, 23, 19, ....... is an arithmetic sequence.

What is the 12th term?

a)

3

b)

-5

c)

-17

d)

-21

6.

The first term of a geometric sequence is 2. The 4th term of the sequence is -54. Find the common ratio.

a)

6

b)

3

c)

-3

d)

-6

7.

Given 29, 25, 21, ... is an arithmetic sequence. How many positive terms are there?

a)

7

b)

8

c)

9

d)

10

8.

Consider the geometric sequence

 −1125,125,−15, 1, ...-\frac{1}{125},\frac{1}{25},-\frac{1}{5},\ 1,\ ...  
If the  mthm^{th}  term of the sequence is -3125, find the  value of m.

a)

8

b)

9

c)

10

d)

11