Arithmetic Progression (AP) Class 10

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1. The nth term of an A.P. is given by an = 3 + 4n. The common difference is
(a) 7
(b) 3
(c) 4
(d) 1

2. If p, q, r and s are in A.P. then r - q is
(a) s - p
(b) s - q
(c) s - r
(d) none of these

3.If the sum of three numbers in an A.P. is 9 and their product is 24, then numbers are

(a) 2, 4, 6
(b) 1, 5, 3
(c) 2, 8, 4
(d) 2, 3, 4

4. The (n - 1)th term of an A.P. is given by 7,12,17, 22,... is

(a) 5n + 2
(b) 5n + 3
(c) 5n - 5
(d) 5n - 3

5. The nth term of an A.P. 5, 2, -1, -4, -7 ... is

(a) 2n + 5
(b) 2n - 5
(c) 8 - 3n
(d) 3n - 8

6. Find the sum of 12 terms of an A.P. whose nth term is given by an = 3n + 4

(a) 262
(b) 272
(c) 282
(d) 292

7. The sum of all two digit odd numbers is

(a) 2575
(b) 2475
(c) 2524
(d) 2425

8.If 2x, x + 10, 3x + 2 are in A.P., then x is equal to

(a) 0
(b) 2
(c) 4
(d) 6

9.The sum of all odd integers between 2 and 100 divisible by 3 is

(a) 17
(b) 867
(c) 876
(d) 786

10.If the numbers a, b, c, d, e form an A.P., then the value of a - 4b + 6c - 4d + e is

(a) 0
(b) 1
(c) -1
(d) 2

11. If 7 times the 7th term of an A.P. is equal to 11 times its 11th term, then 18th term is

(a) 18
(b) 9
(c) 77
(d) 0

12.  If p, q, r are in AP, then p3 + r3 - 8q3 is equal to

(a) 4pqr
(b) -6pqr
(c) 2pqr
(d) 8pqr

13. Two APs have the same common difference. . The first term of one of these is -1 and that of the other is -8. Then the difference between their 4th terms is 

(a) -1
(b) -8
(c) 7
(d) -9

14. In an AP, if d = -2, n = 5 and an = 0, the value of a is

(a) 10
(b) 5
(c) -8
(d) 8

15.An AP consists of 31 terms. If its 16th term is m, then sum of all the terms of this AP is

(a) 16 m
(b) 47 m
(c) 31 m
(d) 52 m

ANSWERS