361 JEE Main Sequences and Series PYQs (2002–2026) with verified answers and step-by-step solutions.
This page collects every JEE Main Sequences and Series previous-year question from Mathematics, 2002–2026. Each links to a full solution with a verified answer key. Click any year above to narrow the list, or open a question to study its step-by-step working and then practice it on PrepSharp's CBT player.
The value of 1³ - 2³ + 3³ - … + 15³ is:
The positive integer n, for which the solutions of the equation x(x+2)+(x+2)(x+4)+…+(x+2 n-2)(x+2 n)=(8 n)/(3) are two…
If ₌₁ⁿ ak = 6n³, then ₌₁⁶ (ak₊₁ - ak36 )² is equal to _______.
The first term of an A.P. of 30 non-negative terms is (10)/(3). If the sum of this A.P. is the cube of its last term, t…
Let A be the set of first 101 terms of an A.P., whose first term is 1 and the common difference is 5 and let B be the s…
In a G.P., if the product of the first three terms is 27 and the set of all possible values for the sum of its first th…
If the sum of the first four terms of an A.P. is 6 and the sum of its first six terms is 4, then the sum of its first t…
The value of ₌₁\ⁱⁿfty(-1)k⁺¹ ((k(k+1))/(k!) ) is
((1)/(3)+(4)/(7) )+ (13²+(1)/(3) × (4)/(7)+4²7² )+ (13³+13² × (4)/(7)+(1)/(3) × 4²7²+4³7³ )+… upto infinite terms, is e…
₌₁¹⁰ ( (528)/(n(n+1)(n+2)) ) is equal to:
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