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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2024
The sum of the series $\frac{1}{1-3 \cdot 1^2+1^4}+\frac{2}{1-3 \cdot 2^2+2^4}+\frac{3}{1-3 \cdot 3^2+3^4}+\cdots$. up to 10 terms is
JEE Main Mathematics Medium
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Q JEE MAIN
let $S_a$ denote the sum of first n terms an arithmetic progression. If S_20=790 and S_10=145, then S_15- S_5 is :
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Q JEE MAIN 2024
For 0
JEE Main Mathematics Medium
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Q JEE MAIN
If in a G.P. of 64 terms, the sum of all the terms is 7 times the sum of the odd terms of the G.P,...
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Q JEE MAIN 2024
If $8=3+\frac{1}{4}(3+p)+\frac{1}{4^2}(3+2 p)+\frac{1}{4^3}(3+3 p)+\cdots \infty$, then the value of $p$ is
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Q JEE MAIN 2024
The number of common terms in the progressions 4,9,14,19,....., up to 25th term and 3,6,9,12, up to 37th term is :
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Q JEE MAIN 2025
Let $a_{1}, a_{2}, \ldots, a_{2024}$ be an Arithmetic Progression such that $a_{1}+\left(a_{5}+a_{10}+a_{15}+\ldots+a_{2020}\right)+a_{2024}=2233$. Then $a_{1}+a_{2}+a_{3}+\ldots+a_{2024}$ is equal to $\_\_\_\_$ .
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Q JEE MAIN 2025
For positive integers $n$, if $4 a_{n}=\left(n^{2}+5 n+6\right)$ and $S_{n}=\sum_{k=1}^{n}\left(\frac{1}{a_{k}}\right)$, then the value of $507 S_{2025}$ is:
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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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