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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let ${x_1},{x_2},{x_3},{x_4}$ be in a geometric progression. If 2,7,9,5 are subtracted respectively from ${x_1},{x_2},{x_3},{x_4}$, then the resulting numbers are in an arithmetic progression. Then the...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let $A = \{ 1,\,\,6,\,\,11,\,\,16, \ldots \} $ and $B = \{ 9,16,23,30, \ldots \} $ be the sets consisting of the first 2025 terms...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
$1 + 3 + {5^2} + 7 + {9^2} + .....$ upto 40 terms is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The sum 1 + 3 + 11 + 25 + 45 + 71 + ……… upto 20 terms, is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let ${a_1},{a_2},{a_3}, \ldots $ be a G.P. of increasing positive numbers. If ${a_3}{a_5} = 729$ and ${a_2} + {a_4} = \frac{{111}}{4}$ , then $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
In an arithmetic progression, if $S_{40}=1030$ and $S_{12}=57$, then $S_{30}-S_{10}$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $7=5+\frac{1}{7}(5+\alpha)+\frac{1}{7^{2}}(5+2 \alpha)+\frac{1}{7^{3}}(5+3 \alpha)+\ldots \ldots \ldots$, then the value of $\alpha$ is :
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let ${a_1},{a_2},{a_3}, \ldots $. be in an A.P. such that $\sum\limits_{k = 1}^{12} {{a_{2k - 1}}} = - \frac{{72}}{5}{a_1},{a_1} \ne 0$. If $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The roots of the quadratic equation $3 x^{2}-p x+q=0$ are $10^{\text {th }}$ and $11^{\text {th }}$ terms of an arithmetic progression with common difference...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
The value of $\mathop {\lim }\limits_{n \to \infty } \left( {\sum\limits_{k = 1}^n {\frac{{{k^3} + 6{k^2} + 11k + 5}}{{(k + 3)!}}}} \right)$ is:
JEE Main Mathematics Medium
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