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Sequences and Series — JEE Main & Advanced Mathematics PYQs

10 previous year questions from Sequences and Series with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

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Sequences and Series — JEE Main & Advanced Mathematics PYQs

If a, b, c are positive numbers and a + b + c = 1 , then the maximum value of (1 - a)(1 - b)(1 - c) is:

If xyz = (1-x)(1-y)(1-z) where 0 x, y, z 1 , then the minimum value of x(1-z) + y(1-x) + z(1-y) is:

If ( - 2 ) , , ( + 2 ) are in arithmetical progression then ^2 = ^2 ( n , n I ) the value of is:

Let a, b, c, d, e are non-zero and distinct positive real numbers. If a, b, c are in A.P.; b, c, d are in G.P. and c, d, e are in H.P., then a, c, e are in:

If (m+1)^ th , (n+1)^ th , and (r+1)^ th terms of a non-constant A.P. are in G.P. and m, n, r are in H.P., then the ratio of first term of the A.P to its common difference is:

If the equation x^4 - 4x^3 + ax^2 + bx + 1 = 0 has four positive roots, then the value of (a+b) is:

If S₁, S₂ and S₃ are the sums of first n natural numbers, their squares and their cubes respectively, then S₁^4 S₂^2 - S₂^2 S₃^2 S₁^2 + S₃^2 =

If S_n = 1 2 3! + 2 2^2 4! + 3 2^3 5! + upto n terms then the sum of the infinite terms is:

If ( 12 - x ) , 12 , ( 12 + x ) in order are three consecutive terms of a G.P. then sum of all the solutions in [0, 314] is k . The value of k is:

Let S_k = 1 + 2 + 3 + + k and Q_n = S₂ S₂ - 1 S₃ S₃ - 1 S₄ S₄ - 1 S_n S_n - 1 , where k, n N . _ n Q_n =