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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

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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Q JEE MAIN 2025
Consider an A. P. of positive integers, whose sum of the first three terms is 54 and the sum of the first twenty terms lies...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let ${{\rm{T}}_{\rm{r}}}$ be the ${{\rm{r}}^{{\rm{th }}}}$ term of an A.P. If for some ${\rm{m}},{{\rm{T}}_{\rm{m}}} = \frac{1}{{25}},\;{{\rm{T}}_{25}} = \frac{1}{{20}}$ , and $...
JEE Main Mathematics Easy
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