Test: Sequences And Series (Competition Level) - 1


22 Questions MCQ Test Mathematics (Maths) Class 11 | Test: Sequences And Series (Competition Level) - 1


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QUESTION: 1

The first term of an A.P. of consecutive integer is p2 + 1. The sum of (2p + 1) terms of this series can be expressed as

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QUESTION: 2

If a1, a2, a3,........ are in A.P. such that a1 + a5 + a10 + a15 + a20 + a24 = 225, then a1 + a2 + a3 + ......+ a23 + a24 is equal to

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QUESTION: 3

If x ∈ R, the numbers 51+x + 51-x, a/2, 25x + 25-x form an A.P. then `a' must lie in the interval;

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QUESTION: 4

The third term of a G.P. is 4. The product of the first five terms is

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QUESTION: 5

If S is the sum of infinity of a G.P. whose first term is `a', then the sum of the first n terms is

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QUESTION: 6

The sum of the series  +  +  + ....... +  is

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QUESTION: 7

For a sequence {an}, a= 2 and . Then  is

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QUESTION: 8

a, b be the roots of the equation x2 – 3x + a = 0 and g, d the roots of x2 – 12x + b = 0 and numbers a, b, g, d (in this order) form an increasing G.P., then

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QUESTION: 9

If 3 + 1/4 (3 + d) + 1/42 (3 + 2d) + .... + upto ∞ = 8, then the value of d is

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QUESTION: 10

The sum  is equal to

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QUESTION: 11

In a G.P. of positive terms, any term is equal to the sum of the next two terms. The common ratio of the G.P. is

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QUESTION: 12

If  + ...... up to ∞ =, then  + ..... =

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QUESTION: 13

Sum of the series S = 12 – 22 + 32 – 42 + ..... – 20022 + 20032 is

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QUESTION: 14

If x =, y =, z =where a, b, c are in AP and |a| < 1, |b| < 1, |c| < 1, then x, y, z are in

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QUESTION: 15

The sum to n term of the series 1(1!) + 2(2!) + 3(3!) + ....

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QUESTION: 16

The sum to 10 terms of the series is

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QUESTION: 17

If p is positive, then the sum to infinity of the series,  is

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QUESTION: 18

The positive integer n for which 2 × 22 + 3 × 23 + 4 × 24 + ..... + n × 2n = 2n + 10 is

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QUESTION: 19

If x > 0, and log2 x + log2  + log2  + log2  + log2  + ....= 4, then x equals

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QUESTION: 20

If a, b, c are in A.P. p, q, r are in H.P. and ap, bq, cr are in G.P., then  is equal to

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QUESTION: 21

12 + 22 + ......+ n2 = 1015, then value of n is

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QUESTION: 22

If a and b are pth and qth terms of an AP, then the sum of its (p + q) terms is

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