Sequences and Series

JEE Main · Mathematics · 14 past questions

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9 of 14 · show all

1. 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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2. Q3 2026 2 Apr Shift 2

   Let $a_1, a_2, a_3, \ldots$ be an A.P. and $g_1 = a_1, g_2, g_3, \ldots$ be an increasing G.P. If…

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3. Q4 2026 2 Apr Shift 2

   The sum $\frac{1^3}{1}+\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}+\dots$ up to 8 terms, is…

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4. 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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5. 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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6. Q9 2026 5 Apr Shift 2

   If the sum of the first 10 terms of the series…

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7. Q11 2026 6 Apr Shift 1

   The value of $1^3-2^3+3^3-\ldots+15^3$ is…

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8. Q12 2026 6 Apr Shift 1

   The sum of the first ten terms of an A.P. is 160 and the sum of the first two terms of a G.P. is 8. If the…

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9. Q14 2026 6 Apr Shift 2

   The sum $1+\frac12(1^2+2^2)+\frac13(1^2+2^2+3^2)+\dots$ upto 10 terms is equal to…

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