arithmetic profression
Multiple choice questions.
1. A sequence in which the difference between any two consecutive terms is a constant is
called as
A. Arithmetic progression B. Geometric progression
C. Harmonic progression D. linear progression
2. The constant difference between two consecutive terms in an arithmetic progression is called
A. progression constant B. Common difference
C. progressive difference D. none of these
3. The nth term of an arithmetic progression is given by
A. Tn=a+(n-1)d B. Tn=a+(n+1)d C. Tn=a-(n-1)d D. Tn=a-(n+1)d
4. The sum of the first n terms of an arithmetic progression is given by
A. Sn=n/2 [a +(n-1)d] B. Sn=2n[a (n-1)d)] c. Sn=n/2 [a +(n+1)d] D. Sn=n/2 [a (n-1)d]
5. If Tn=2n+3, then the first term of the series is
A. 3 B. 5 C. 7 D. 9
6. If Tn=2n2+1, then the fourth term of the series is
A. 19 B. 27 C. 33 D. 39
7. If Tn=65 in Tn = n2+1, then n=
A. 5 B. 6 C. 7 D. 8
8. If Tn= n/n+1, then 2T1 +3T2 =
A. 3 B. 5 C. 4 D. 6.
9. The tenth term of the arithmetic progression 1, 4, 7, 10--------is
A. 28 B. 31 C. 34 D. 37
10. The thirteen term of the arithmetic progression 1 ,4, 7,10 ----- is
A. 28 B. 31 C. 34 D. 37
11. The value of 
+ 
is
+ is A. n +1 B. n – 1 C. n2 D. 2n2
12. If Tn = 4n +1 , then T(n-1) is
A. 4n -1 B. 4n -2 C. 4n -3 D. 4n – 4
13 Which of the following is a true mathematical relation?
A. Sn + Tn = S n - 1 B. Sn – S n+1 = Tn C. Sn – S n-1 = Tn D. Sn + Tn = S n+1
14 In an AP the sum of first n even natural numbers is
a)n (n+1) b) n2 c) 2n+1 d) 2n2
15 In an AP the sum of first n even natural numbers is
a)n (n+1) b) n2 c) 2n+1 d) 2n2
16 . In an A.P., if S2 = 4 & S1 = -5 then the value of ‘d’ is
A. 9 B. 14 C. -9 D . -5
17 . In an A,P, 1 + 2+ 3 + 4+ … …….. + ( n-1) is equal to
A. n (n-1) B. n (n +1) C. n(n-1)/2 D. n(n+1)/2
18 If 1/2 , 1/4 , 1/8……. are in G.P. Then common ratio Is
a) 1/2 b) -1/2 c) 2 d) -2
19 If Sn= n2 -1 then T2 is
a) 2 b) 5 c) 7 d) 3
20 The common difference of an A.P. -6, 0, 6, 12…… . is
a) 3 b) 12 c) 6 d) -6
21 If Tn = 2n2 – 5 then T10 =
a)15 b) 195 c) 59 d) None of these
22 If Sn= n2 + 1 then T2 is
a) 2 b) 5 c) 7 d) 3
23 . In a G.P., T 7 : T 4 = 8 : 1, then common ratio r is
(A) 1 (B) 3 (C) 2 (D) 4.
24 . If A, G, H are AM, GM and HM of a and b, then
(A) A, G, H are in A.P. (B) A, G, H are in G.P (C) A, G, H are in H.P. (D) None of these
25. The eleventh term of the series 1, -4, -9,-13 ------- is
A. 25 B.29 C. -25 D. -49
26. With usual notations of an arithmetic progression, if a=2, d=3, and Tn =62, then n =
A. 20 B. 21 C. 22 D. 23
27. With usual notations of an arithmetic progression, if a=2, d=3, and Tn =44, then n =
A. 15 B. 16 C. 17 D. 18
28. With usual notations of an arithmetic progression, if a=2, d=3, and Tn =74, then n =
A. 22 B.23 C. 24 D. 25
29. The common difference of an arithmetic progression 0.25, 0.5, 0.75, ------- is
A. 0.5 B. 0.2 C. 0. 25 D. 0.025
30. The common difference of an arithmetic progression -3/5, -2/5, -1/5, ------- is
A. 1/5 B. 2/5 C. 3/5 D. 1
31. The common difference of an arithmetic progression 2√2 , 4√2, 6√2 ------- is
A. 3 B. 2√2 C. √2 D. 2
32. The common difference of an arithmetic progression a-b, 2a+b, 3a +3b, ----- is
A. a+b B. a+2b C. 2a +2b D. 2a+b
33. The 5th term of the sequence whose nth term is (2n – 10)/5 is
A. 0 B. 20n/5 C. 10n/5 D. 20n – 10/5
34. 3,x and 7 are in arithmetic progression. X=
A. 4 B. 5 C. 0 D. 6
35. The sum of the first twelve natural numbers is
A. 66 B. 74 C. 78 D. 82
36. The sum of first ‘n’ natural numbers is
A. Sn = n+1/2 B. Sn = n-1/2 C. Sn = n(n+1)/2 D. Sn = n(n-1)/2
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