JEE Questions for Maths Sequences And Series Quiz 10 - MCQExams.com


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  • 0
  • 1

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  • –2

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  • –1

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  • –2

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  • G.P.
  • A.P.
  • H.P.
  • A.G.P.
If a, b, c are in A. P. and geometric means of ac and ab, ab and bc, ca and cb are d, e, f respectively then e + f, f + d and d + e are in _______
  • G. P.
  • A. P.
  • H. P.
  • A. G. P.
Find out three numbers which are in G. P. such that their summation is 13 and the sum of their squares is 91
  • 3, 1, 9
  • 1, 3, 9
  • 1, 9, 3

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If S1, S2, S3, ..., Sn be the sum of n terms of n A.P. s whose first terms are 1, 2, 3, ..., n respectively and common differences are 1, 3, 5, ... (2n-respectively then
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0.4 + 0.44 + 0.444 + ... to 2n terms = _____

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The 11th, 13th and 15th terms of any G.P. are in ______
  • G.P.
  • A.P.
  • H.P.
  • A.G.P.

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  • G. P.
  • A. P.
  • H. P.
  • A. G. P.
If the sum of first 101 terms of an A. P. is 0 and If 1 be the first term of the A. P. then the sum of next 100 terms is ______
  • –101
  • 201
  • –201
  • –200
If A1 and A2 be the two A. M. s between two numbers 7 and 1/7 then (2 A1 - A2) (2 A2 - A1) = ______
  • 49
  • 48/7
  • 50/7
  • 1
For an A. P...S100 = 3 S50 The value of S150 : S50 =_______
  • 8
  • 3
  • 6
  • 10
If 1, A1, A2, A3, .... An, 31 are in A. P. and A7 : An –1 = 5 : 9 then n =______
  • 28
  • 14
  • 15
  • 13
In a G. P., the last term is 1024 and the common ratio is 2. Its 20 th term from the end is ______

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The sum of the numbers 1 + 2.2 + 3. 22 + 4. 23 + ... + 50. 249 is ______
  • 1 + 49. 249
  • 1 + 49. 250
  • 1 + 50. 249
  • 1 + 50. 250
First term of a G. P. of 2n terms is a, and the last term is l The product of all the terms of the G. P. is ______
  • (al)n/2
  • (al)n-1
  • (al)n
  • (al)2n
The series 1. 1! + 2. 2! + 3. 3! + ... + n. n! = _______
  • (n + 1)! -n
  • (n + 1)! -1
  • n! -1 + n
  • n! +1 -n
If an A. P., T35 = - 50 and d = - 3 then S35 =______
  • 35
  • 38
  • 32
  • 29
If p th term and q th term of an A. P. are 1/qr and 1/pr respectively, then r th term of the A. P. = _______
  • 1/pqr
  • 1
  • 1/pq
  • pq
If a set A = {3, 7, 11, ..., 407} and a set B = {2, 9, 16, ..., 709} then n(A ∩ B) = _______
  • 13
  • 14
  • 15
  • 16
If Sn = an + bn2, for an A. P. where a and b are constants, then common difference of A. P. will be ______
  • 2b
  • a + b
  • 2a
  • a - b

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  • None of these
If the sum of the roots of the equation ax2 + bx + c = 0 is equal to the sum of the squares of their reciprocals then bc2, ca2, ab2 are in ______
  • A.P.
  • G.P.
  • H.P.
  • A.G.P.
If the first, second and last terms of an A. P. are a, b and 2a respectively, the sum of the series is _______

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Sum of products of first n natural numbers taken two at a time is _____

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The sum of the series a - (a + d) + (a + 2d) - (a + 3d) + ... up to 50 terms is ______
  • –50d
  • 25d
  • a + 50d
  • – 25d
The numbers of terms in the A. P. a,b,c,........, x is _______

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If the sides of a right triangle are in A. P., then the sum of the sines of the two acute angles is ______

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  • 2
  • 3
  • 4
  • 2 or 3

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If the numbers p, q, r are in A. P., then 2p2, 2pq, 2pr are in
  • A.P.
  • G.P.
  • H.P.
  • A.G.P.
If the angles A < B < C of a ∆ABC are in A. P. then ______
  • c2 = a2 + b2 – ab2
  • c2 = a2 + b2
  • b2 = a2 + c2 – ac2
  • a2 = b2 + c2 – bc

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If the sides of a ABC are in A. P. and the greatest angle is double the smallest. The ratio of the sides of ∆ABC is _______
  • 3 : 4 : 5
  • 5 : 12 : 13
  • 4 : 5 : 6
  • 5 : 6 : 7

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  • A. P.
  • G. P.
  • H. P.
  • none of these

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  • 100
  • 10
  • 1000
  • None of these
The coefficient of x8 in the product (x+(x+(x+... (x+is _______
  • 1024
  • 1300
  • 1320
  • 1360
The sum of 20 terms of the series 12 + 16 + 24 + 40 + ... is _______
  • 8335
  • 8348
  • 8356
  • 8363

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  • A. P.
  • G. P.
  • H. P.
  • A. G. P.
If 1, logy x, logz y, -15 logx z are in A. P. then the common difference of this A. P. is ________
  • 1
  • 2
  • –2
  • 3
If the function f satisfies the relation f (x+y) = f(x) f(y) for all x, y ϵ N, Further if f(= 3 and
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  • 4
  • 2
  • 1
  • 3
If for an A. P. {an}, a1 + a5 + a15 + a26 + a36 + a40 = 210 then S40 =______
  • 2100
  • 700
  • 1400
  • None of these
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