33 JEE Main 2026 Sequences and Series previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2026 previous-year questions from the Sequences and Series chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Sequences and Series chapter hub.
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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