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JEE Sequences and Series PYQs with Solutions

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

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About Sequences and Series PYQs

Sequences and Series has 10 previous year questions in the Quantrex Academy JEE Main & Advanced Mathematics bank. The 10 questions in this list come from Black Book Advanced Problems in Mathematics (10). Each question opens on its own page with the options, the correct answer and the worked solution where available.

Sequences and Series questions with solutions

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

Black Book Advanced Problems in Mathematics Solution View → 2

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:

Black Book Advanced Problems in Mathematics Solution View → 3

If (α - 2β) , α , (α + 2β) are in arithmetical progression then ^2α = λ ^2β ( β ≠ nπ, n ∈ I ) the value of λ is:

Black Book Advanced Problems in Mathematics Solution View → 4

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:

Black Book Advanced Problems in Mathematics Solution View → 5

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:

Black Book Advanced Problems in Mathematics Solution View → 6

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

Black Book Advanced Problems in Mathematics Solution View → 7

If S_1, S_2 and S_3 are the sums of first n natural numbers, their squares and their cubes respectively, then (S_1^4 S_2^2 - S_2^2 S_3^2)/(S_1^2 + S_3^2) =

Black Book Advanced Problems in Mathematics Solution View → 8

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:

Black Book Advanced Problems in Mathematics Solution View → 9

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

Black Book Advanced Problems in Mathematics Solution View → 10

Let S_k = 1 + 2 + 3 + … + k and Q_n = (S_2)/(S_2 - 1) · (S_3)/(S_3 - 1) · (S_4)/(S_4 - 1) … (S_n)/(S_n - 1) , where k, n ∈ N . _ n → ∞ Q_n =

Black Book Advanced Problems in Mathematics Solution View →

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Related JEE Mathematics chapters

Application of Derivatives (795)Three Dimensional Geometry (756)Sequences and Series (748)Functions (700)Definite Integration (692)Vector Algebra (616)Differential Equations (586)Continuity and Differentiability (576)Probability (561)Complex Number (551)Binomial Theorem (550)Quadratic Equation (517)