Sequences and Series

JEE Main · Mathematics · 14 past questions

These are the board's own papers. 246 more board questions reprinted in the books we use in class are for signed-in students: sign in.

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1. Q1 2026 2 Apr Shift 1

   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…

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2. Q2 2026 2 Apr Shift 1

   If $\sum_{k=1}^{n} a_k = 6n^3$, then $\sum_{k=1}^{6}\left(\dfrac{a_{k+1}-a_k}{36}\right)^2$ is equal to…

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3. Q5 2026 4 Apr Shift 1

   The first term of an A.P. of 30 non-negative terms is $\frac{10}{3}$. If the sum of this A.P. is the cube of…

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4. Q6 2026 5 Apr Shift 1

   Let the sum of the first $n$ terms of an A.P. be $3n^2 + 5n$. Then the sum of squares of the first 10 terms…

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5. Q10 2026 5 Apr Shift 2

   Let $A_1, A_2, A_3, \dots, A_{39}$ be 39 arithmetic means between the numbers 59 and 159. Then the mean of…

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