Free Printable Arithmetic Progressions

1.

Find the first term of the given sequence:
a₁₄=68
d=3

a)

14

b)

20

c)

26

d)

29

2.

Find the 22nd term. a₁=10, d=5

a)

115

b)

200

c)

10

d)

220

3.

Choose the correct answer from the given four options:
The 10th term of the AP: 5, 8, 11, 14, ... is

a)

32

b)

35

c)

38

d)

25

4.

43 is one of the term of the AP..3, 5, 7, ....determine which term is it

a)

19

b)

20

c)

21

d)

22

5.

The following are Arithmetic Progressions, except

a)

12, 6, 3, ...

b)

4, 2, 0, ...

c)

x, x+2, x+4, ...

d)

$\frac{1}{2},\ 0,\ -\frac{1}{2},\ ...$

6.

Find the common difference: -34, -29, -24, -19, ...

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

7.

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

a)

-1, 7, 15

b)

-5, 2, 9

c)

3, 12, 21

d)

-65, -73, -81

8.

The next term of an AP $\sqrt{7}$ , $\sqrt{28}$ , $\sqrt{63}$ ,......is

a)

$\sqrt{70}$

b)

$\sqrt{84}$

c)

$\sqrt{98}$

d)

$\sqrt{112}$

9.

The 5^th term of an AP is -3 and its common difference is -4. The sum of its first 10 terms is_________

a)

50

b)

-50

c)

30

d)

-30

10.

Which term of an AP 72, 63, 54, ...... is 0 ?

a)

8^th

b)

9^th

c)

10^th

d)

11^th

11.

Formula to find sum of n terms in an AP is ________

a)

sn = a+ (n - 1)d

b)

$s_n$ = $\frac{n}{2}$ (a +(n-1)d)

c)

$s_n$ = $\frac{n}{2}$ (2a +(n-1)d)

d)

$s_n$ = $\frac{n}{2}$ (2a +(n+1)d)

12.

What is the common difference of an AP in which a₁₈ - a₁₄ = 32?

a)

8

b)

-8

c)

4

d)

-4

13.

How many multiples of 4 lie between 10 and 250

a)

60

b)

64

c)

56

d)

70

14.

Which of the following is not an Arithmetic Progression?

a)

1, 4, 7, 10, .....

b)

-5, -2, 1, 4, .....

c)

3, 7, 12, 16, ......

d)

11, 14, 17, 20, .....

15.

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

a)

18

b)

17

c)

15

d)

14

16.

Find the common difference if a=-18, n-10 and a_n=0

a)

1

b)

2

c)

3

d)

4

17.

In the following AP'S find the missing term: ___,13,___,3

a)

8, 18

b)

18, 8

c)

6, 16

d)

16, 6

18.

Find the number terms in the following AP: 7, 13,19,.....,205

a)

31

b)

32

c)

33

d)

34

19.

The 17th term of an AP exceeds its 10th term by 7. Find the common difference

a)

1

b)

2

c)

3

d)

4

20.

How many three digit numbers are divisible by 7?

a)

118

b)

128

c)

138

d)

148

Arithmetic Progressions

Total questions: 20

Worksheet time: 29mins

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