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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
Let $S$ be the sum of the first 9 terms of the series : $\{x+k a\}+\left\{x^2+(k+2) a\right\}+\left\{x^3+(k+4) a\right\}+\left\{x^4+(k+6) a\right\}+\ldots$ where $a \neq 0$ and $...
JEE Main Mathematics Hard
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Q JEE-MAIN 2019
Let $S_k=\frac{1+2+3+\ldots .+k}{k}$. If $\mathrm{S}_1^2+\mathrm{S}_2^2+\ldots \ldots+\mathrm{S}_{10}^2=\frac{5}{12} \mathrm{~A}$, then A is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If the sum of first 11 terms of an A.P., $\mathbf{a}_1, \mathbf{a}_2, \mathbf{a}_3, \ldots$ is $0\left(\mathbf{a}_1 \neq 0\right)$, then the sum of the A.P., $...
JEE Main Mathematics Easy
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Q JEE Main 2020
The sum of the first three terms of a G.P. is S and their product is 27. Then all such S lie in:
JEE Main Mathematics Medium
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Q JEE MAINN 2019
If $a_1, a_2, a_3, \ldots .$. are in A.P. such that $a_1+a_7+a_{16}=40$, then the sum of the first 15 terms of this A.P. is:
JEE Main Mathematics Medium
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Q JEE-MAIN 2019
The product of three consecutive terms of a G.P. is 512. If 4 is added to each of the first and the second of these...
JEE Main Mathematics Easy
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Q JEE Main 2020
If $|x|<1,|y|<1$ and $x \neq y$, then the sum to infinity of the following series $(x+y)+\left(x^2+x y+y^2\right)+\left(x^3\right. \left.+x^2 y+x y^2+y^3\right)+\ldots$. is:
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $\mathrm{a}, \mathrm{b}$ and c be the $7^{\text {th }}, 11^{\text {th }}$ and $13^{\text {th }}$ terms respectively of a non-constant A.P. If these...
JEE Main Mathematics Easy
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Q JEE MAIN 2020
The product $2^{\frac{1}{4}} \cdot 4^{\frac{1}{16}} \cdot 8^{\frac{1}{48}} \cdot 16^{\frac{1}{128}}$. to $\infty$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $2^{10}+2^9 \cdot 3^1+2^8 \cdot 3^2+\ldots .+2 \cdot 3^9+3^{10}=S-2^{11}$, then $S$ is equal to:
JEE Main Mathematics Easy
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