9. If (p + q)th term of an A.P.
is m and (p - q)tn term is
THAMARAI INTERNATIONAL SCHOOL n, then pth term is
KUMBAKONAM (a) m-n
NTSE CLASS-X (b) mn
TOPIC: TRIGONOMETRY (c) m+n
TIME: 30MIN MARKS: 30 (d) (mn)1/2
Chapter 5 : Arithmetic Progressions 10. The 10th term from the end of the A.P. 4, 9,14, ...,
1. The nth term of an A.P. is given by an = 3 + 4n. The 254 is
common difference is (a) 209
(a) 7 (b) 205
(b) 3 (c) 214
(c) 4 (d) 213
(d) 1 11. If 2x, x + 10, 3x + 2 are in A.P., then x is equal to
2. If p, q, r and s are in A.P. then r - q is (a) 0
(a) s - p (b) 2
(b) s - q (c) 4
(c) s - r (d) 6
(d) none of these 12. The number of all odd integers between 2 and 100
3. If the sum of three numbers in an A.P. is 9 and their divisible by 3 is
product is 24, then numbers are (a) 17
(a) 2, 4, 6 (b) 867
(b) 1, 5, 3 (c) 876
(c) 2, 8, 4 (d) 786
(d) 2, 3, 4 13. The sum of all odd integers between 2 and 100
4. The (n - 1)th term of an A.P. is given by 7,12,17, 22,... divisible by 3 is
is (a) 17
(a) 5n + 2 (b) 867
(b) 5n + 3 (c) 876
(c) 5n - 5 (d) 786
(d) 5n - 3 14. If the numbers a, b, c, d, e form an A.P., then the
5. The nth term of an A.P. 5, 2, -1, -4, -7 ... is value of a - 4b + 6c - 4d + e is
(a) 2n + 5 (a) 0
(b) 2n - 5 (b) 1
(c) 8 - 3n (c) -1
(d) 3n - 8 (d) 2
6. The 10th term from the end of the A.P. -5, -10, -15,..., 15. If 7 times the 7th term of an A.P. is equal to 11
-1000 is times its 11th term, then 18th term is
(a) -955 (a) 18
(b) -945 (b) 9
(c) -950 (c) 77
(d) -965 (d) 0
7. Find the sum of 12 terms of an A.P. whose nth term 16. If p, q, r are in AP, then p3 + r3 - 8q3 is equal to
is given by an = 3n + 4 (a) 4pqr
(a) 262 (b) -6pqr
(b) 272 (c) 2pqr
(c) 282 (d) 8pqr
(d) 292
8. The sum of all two digit odd numbers is 17. In an AP, if a = 3.5, d = 0, n = 101, then 'a' will be
(a) 2575 (a) 0
(b) 2475 (b) 3.5
(c) 2524 (c) 103.5
(d) 2425 (d) 104.5
18. The list of numbers -10, -6, -2, 2, ... is (b) A - B
(a) an AP with d = -16 (c) 2A
(b) an AP with d = 4 (d) 2B
(c) an AP with d = -4 27. If p - 1, p + 3, 3p - 1 are in AP, then p is equal to
(d) not an AP ______ .
19. Two APs have the same common difference. . The (a) 5
first term of one of these is -1 and that of the other is - (b) 3
8. Then the difference between their 4th terms is (c) 4
(a) -1 (d) 2
(b) -8 28. find the first four terms of the sequences whose
(c) 7 general term is
(d) -9 Tn = 2n + 3
20. In an AP, if d = -2, n = 5 and an = 0, the value of a (a) 5.5, 7.5, 9.5 and 11.5
is (b) -5, -7, -9 and -11.
(a) 10 (c) 5, 7, 9 and 11.
(b) 5 (d) 3, 5, 7 and 9
(c) -8 29. find the first four terms of the sequences whose
(d) 8 general term is Tn =3n + 1
21. If the common difference of an AP is 3, then (a) 0, 9, 27 and 81
a20 - a15 is (b) 9, 27, 81 and 243
(a) 5 (c) 9, 27, 81 and 243
(b) 3 (d) 9, 27, 81 and 243
(c) 15 30. Find the 10th term of 10.0, 10.5, 11.0, 11.5, .....
(d) 20 (a) 15.5
22. The common difference of the AP (b) 13.5
(c) 14.5
(d) 12.5
(a) p
(b) -p
(c) -1
(d) 1
23. If the nth term of an AP is (2n +1), then the sum of
its first three terms is
(a) 6n + 3
(b) 15
(c) 12
(d) 21
24. 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
25.
26. If the sum of first n terms of an AP is An + Bn²
where A and B are constants, the common difference
of AP will be
(a) A + B
