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Free download in PDF Class 11 Maths Chapter 9 Sequences and Series Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 11 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries./p>
(1)
The first term of a GP is 1. The sum of the third term and fifth term is 90. The common ratio of GP is
(2)
If the sum of the first 2n terms of the A.P. 2, 5, 8, ….., is equal to the sum of the first n terms of the A.P. 57, 59, 61, ….., then n equals
[A]
10
[B]
12
[C]
11
[D]
13
(3)
If the sum of the roots of the quadratic equation ax² + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c, b/a, c/b are in
[A]
A.P.
[B]
G.P.
[C]
H.P.
[D]
A.G.P.
(4)
If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then
[A]
a, b, c are in AP
[B]
a², b², c² are in AP
[C]
1/1, 1/b, 1/c are in AP
[D]
None of these
Answer: a², b², c² are in AP
(5)
The 35th partial sum of the arithmetic sequence with terms an = n/2 + 1
[A]
240
[B]
280
[C]
330
[D]
350
(6)
The sum of series 1/2! + 1/4! + 1/6! + ….. is
[A]
e² – 1 / 2
[B]
(e – 1)² /2 e
[C]
e² – 1 / 2 e
[D]
e² – 2 / e
(7)
If a, b, c are in G.P., then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root if d/a, e/b, f/c are in
[A]
AP
[B]
GP
[C]
HP
[D]
none of these
(8)
The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4) + …… is
[A]
n/(n+1)
[B]
1/(n+1)
[C]
1/n
[D]
None of these
(9)
The sum of two numbers is 13/6 An even number of arithmetic means are being inserted between them and their sum exceeds their number by 1. Then the number of means inserted is
(10)
If 2/3, k, 5/8 are in AP then the value of k is
[A]
31/24
[B]
31/48
[C]
24/31
[D]
48/31
(11)
Three numbers form an increasing GP. If the middle term is doubled, then the new numbers are in Ap. The common ratio of GP is
[A]
2 + √3
[B]
2 – √3
[C]
2 ± √3
[D]
None of these
(12)
The sum of two numbers is 13/6 An even number of arithmetic means are being inserted between them and their sum exceeds their number by 1. Then the number of means inserted is
(13)
If a, b, c are in AP then
[A]
b = a + c
[B]
2b = a + c
[C]
b² = a + c
[D]
2b² = a + c
(14)
If the third term of an A.P. is 7 and its 7 th term is 2 more than three times of its third term, then the sum of its first 20 terms is
[A]
228
[B]
74
[C]
740
[D]
1090
(15)
The sum of n terms of the series (1/1.2) + (1/2.3) + (1/3.4) + …… is
[A]
n/(n+1)
[B]
1/(n+1)
[C]
1/n
[D]
None of these
(16)
The third term of a geometric progression is 4. The product of the first five terms is
[A]
43
[B]
45
[C]
44
[D]
none of these
(17)
Let Tr be the r th term of an A.P., for r = 1, 2, 3, … If for some positive integers m, n, we have Tm = 1/n and Tn = 1/m, then Tm n equals
[A]
1/m n
[B]
1/m + 1/n
[C]
1
[D]
0
(18)
If 1/(b + c), 1/(c + a), 1/(a + b) are in AP then
[A]
a, b, c are in AP
[B]
a², b², c² are in AP
[C]
1/1, 1/b, 1/c are in AP
[D]
None of these
Answer: a², b², c² are in AP
(19)
The sum of AP 2, 5, 8, …..up to 50 terms is
[A]
3557
[B]
3775
[C]
3757
[D]
3575
(20)
If a is the A.M. of b and c and G1 and G2 are two GM between them then the sum of their cubes is
[A]
abc
[B]
2abc
[C]
3abc
[D]
4abc
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