Free Printable Arithmetic progression class 10

1.

The salary of Reena in 1st year, 2nd year, 3rd year, 4th year with a starting salary of Rs.8000 with an annual increment of Rs.500. What will be her salary in the 7th year

a)

10,000

b)

10,500

c)

11,000

d)

11,500

2.

If (x+1) , 3x and (4x+2) are first three terms of an AP, then the value of x is :

a)

3

b)

4

c)

1

d)

2

3.

Sn = 1 +2 +3+.......+999

how many terms are there

a)

999

b)

1000

c)

1001

d)

998

4.

In an AP if a = 1, a_n = 20 and S_n = 399, then n is

a)

19

b)

21

c)

38

d)

42

5.

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

a)

$\sqrt{70}$

b)

$\sqrt{84}$

c)

$\sqrt{98}$

d)

$\sqrt{112}$

6.

If the sum of first 6 terms of an A.P. is 36 and that of the first 16 terms is 256, then the sum of first 10 terms of the A.P. is :

a)

100

b)

200

c)

95

d)

220

7.

The 14th term of an AP is twice its 8th term. If the 6th term is: - 8, then find the sum of first 20 terms.

a)

120

b)

-340

c)

30

d)

-30

8.

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

a)

1

b)

2

c)

3

d)

4

9.

How many multiples of 4 lie between 10 and 250

a)

60

b)

64

c)

56

d)

70

10.

Choose the correct answer from the given four options:
In an AP if a = –7.2, d = 3.6, a_n = 7.2, then n

a)

2

b)

3

c)

4

d)

5

11.

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

a)

14

b)

20

c)

26

d)

29

12.

The 7^th term of an AP is 3 times the 2^nd term, find a relation between a and d.

a)

$a=\frac{3}{2}d$

b)

$a=\frac{2}{3}d$

c)

$a=\frac{1}{2}d$

d)

$a=3d$

13.

Given the AP 4, p, q, r, ... with a common difference of -2, determine the value of r.

a)

r = 0

b)

r = 1

c)

r = -2

d)

r = -4

14.

The sum of first 100 natural number is

a)

5005

b)

5500

c)

5050

d)

1010

15.

The 4th term from the end of the AP: –11, –8, –5, ..., 49 is

a)

37

b)

40

c)

43

d)

58

16.

If 7 times the 7th term of an AP is equal to 11 times its 11th term, then its 18th term will be

a)

7

b)

11

c)

18

d)

0

17.

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

a)

14

b)

20

c)

26

d)

29

18.

The first and last terms of an AP are 1 and 11. If the sum of its terms is 36, then the number of terms will be _______

a)

5

b)

6

c)

7

d)

8

19.

The sum of first 'n' terms of an AP is (3n²+6n). The common difference of the AP is ______

a)

6

b)

9

c)

15

d)

-3

20.

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

a)

d = -5

b)

d = 5

c)

d = -6

d)

d = 6

Arithmetic progression class 10

Total questions: 20

Worksheet time: 16mins

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