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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $\left\langle {{a_{\rm{n}}}} \right\rangle $ be a sequence such that ${a_0} = 0,{a_1} = \frac{1}{2}$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Let ${S_n} = \frac{1}{2} + \frac{1}{6} + \frac{1}{{12}} + \frac{1}{{20}} + \ldots $ upto $n$ terms. If the sum of the first six terms of...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If the first term of an A.P. is 3 and the sum of its first four terms is equal to one-fifth of the sum of...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $\sum_{r=1}^n T_r=\frac{(2 n-1)(2 n+1)(2 n+3)(2 n+5)}{64}, then {\lim _{n \rightarrow \infty} \sum_{r=1}^n\left(\frac{1}{T_r}\right)}$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2025
Suppose that the number of terms in an A.P. is $2 k, k \in \mathbf{N}$. If the sum of all odd terms of the A.P....
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Let ${{a}_{1}},{{a}_{2}},{{a}_{3}},\ldots $ be a G.P. of increasing positive terms. If ${{a}_{1}}{{a}_{5}}=28$ and ${{a}_{2}}+{{a}_{4}}=29$, then ${{a}_{6}}$ is equal to :
JEE Main Mathematics Easy
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