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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)
a, b, c Î R+ and from an A.P. if abc = 4, then the minimum value of b is
[A]
(2)2/3
[B]
(2)1/3
[C]
(4)2/3
[D]
None of these
(2)
If S
n = nP +
where Sn denotes the sum of the first ‘n’ terms of an A.P. then the common difference is
[A]
P + Q
[B]
2P + 3Q
[C]
2Q
[D]
Q
(3)
If S
n =
, then S
n is equal to
[A]
2n – (n + 1)
[B]
n × (n + 1)/2
[C]
(n2 + 3n + 2)/6
[D]
n – 1 + (1/2n)
(4)
The numbers 1, 4, 16 can be three terms (not necessarily consecutive) of
[A]
No A.P.
[B]
Only 1 or 2 G.Ps
[C]
Infinite number of A.Ps
[D]
Infinite number of G.Ps
Answer: Infinite number of A.Ps
(5)
2¹ + 2² +2³ +….+2 =
[A]
2(2n - 1) 2
[B]
2(2n-1 -1) 3
[C]
2(2n+1 -1)
[D]
None of Above
(6)
The arithmetic mean between 2+√(2) and 2-√(2) is
[A]
2
[B]
√(2)
[C]
0
[D]
4
(7)
The common difference of the sequence 5,8,11,14,… is
(8)
If A, G, H are arithmetic, geometric and harmonic means between a and b respectively, then A,G,H are
[A]
in G.P
[B]
in A.P
[C]
in H.P
[D]
Real numbers
(9)
G1,G2,…,Gn are said to be n geometric means between a and b if a,G1,…Gn,b is
[A]
a sequence
[B]
not a sequence
[C]
G.P
[D]
A.P
(10)
The A.M between 3√(5) and 5√(5) is
[A]
√(5)
[B]
2√(5)
[C]
3√(5)
[D]
4√(5)
(11)
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
(12)
If Sn = n3 + n2 + n + 1, where Sn denotes the sum of the first n terms of a series and Tm = 291, then m =
[A]
40
[B]
41
[C]
42
[D]
43
(13)
3, 5, 7, 9, ........ is an example of
[A]
Geometric Series
[B]
Arithmetic Series
[C]
Rational Exponent
[D]
Logarithm
Answer: Arithmetic Series
(14)
An arithmetic sequence has its 5th term equal to 22 and its 15th term equal to 62. Then its 100th term is equal to
[A]
410
[B]
408
[C]
406
[D]
404
(15)
If a, b and c are in GP then
[A]
b = ac
[B]
b2 = ac
[C]
b2 = 2ac
[D]
2b2 = ac
(16)
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
(17)
If a1,a2, ..... an are positive real numbers whose product is a fixed number c, then the minimum valu of a1 + a2 + ... + an-1 + 2an is
[A]
n (2c)1/n
[B]
(n + 1)c1/n
[C]
2n c1/n
[D]
(n+1)(2c)1/n
(18)
If the nth term of an AP is 3n - 4, the 10th term of AP is
[A]
12
[B]
22
[C]
28
[D]
30
(19)
If x, y, z are in GP and ax = by = cz then the value of logb a * logb c is
[A]
0
[B]
1
[C]
-1
[D]
None of these
(20)
Let a, b, c form a GP of common ratio r with 0 < r < 1. If a, 2b, 3c form an AP, then r equals
[A]
1/2
[B]
1/3
[C]
2/3
[D]
None of these
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