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Worksheets

ARITHMETIC SEQUENCE

Total questions: 11

Worksheet time: 29mins

Name
Class
Date
1.

What is the formula for Arithmetic Sequence?

a)

a1=an+(n1)da_1=a_n+(n-1)d

b)

an=a1+(n1)da_n=a_1+(n-1)d

c)

an=a1+(1n)da_n=a_1+(1-n)d

d)

an=a1+(n1)a_n=a_1+(n-1)

2.

Find the common difference and the term named in the problem in the following arithmetic sequence.

-16, -18, -20, -22, ...

a)

-2

b)

0

c)

2

d)

12\frac{1}{2}

3.

What is the next term in the geometric sequence 4, -12, 36?

a)

-42

b)

-54

c)

-72

d)

-108

4.

 Find the common difference in the arithmetic sequence  3,134, 72, 154, ...3,\frac{13}{4},\ \frac{7}{2},\ \frac{15}{4},\ ...  

a)

 14\frac{1}{4}  

b)

 34\frac{3}{4}  

c)

 52\frac{5}{2}  

d)

4

5.

What is the common difference in the arithmetic sequence 35, 32, 29, 26, ...

a)

3

b)

0

c)

-3

d)

13\frac{1}{3}

6.

What is the sum of all the odd integers between 8 and 26?

a)

153

b)

151

c)

149

d)

148

7.

Which of the following is an example of Arithmetic Sequence?

a)

12, 14, 18, 116, ...\frac{1}{2},\ \frac{1}{4},\ \frac{1}{8},\ \frac{1}{16},\ ...

b)

2, 8, 32, 128, ...2,\ 8,\ 32,\ 128,\ ...

c)

34,64,94,124,...−34,−64,−94,−124,...

d)

10, 15, 20, 25, ...10,\ -15,\ 20,\ -25,\ ...

8.

If three arithmetic means are inserted between 11 and 39, find the second arithmetic mean.

a)

46

b)

32

c)

25

d)

18

9.

Which term of the arithmetic sequence 4, 1, -2, -5 , . . . is -29 ?

a)

12th term

b)

11th term

c)

10th term

d)

9th term

10.

What is the 7th term of the sequence whose nth term is   an = n21n2+ 1?\ a_n\ =\ \frac{n^2-1}{n^2+\ 1}?  


a)

 2425\frac{24}{25}  

b)

 2325\frac{23}{25}  

c)

 4750\frac{47}{50}  

d)

 4950\frac{49}{50}  

11.

What is the nth term of the arithmetic sequence 7, 9, 11, 13, 15, 17, . .?

a)

3n + 4

b)

4n + 3

c)

n + 2

d)

2n + 5