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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2020
Let $f: R \rightarrow R$ be such that for all $x \in R\left(2^{1+x}+2^{1-x}\right), f(x)$ and $\left(3^x+3^{-x}\right)$ are in A.P., then the minimum value of $f(x)$...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
Let $a_1, a_2, \ldots, a_{10}$ be a G.P. If $\frac{a_3}{a_1}=25$, then $\frac{a_9}{a_5}$ equals
JEE Main Mathematics Easy
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Q JEE MAIN 2019
Let $\mathrm{a}, \mathrm{b}$ and c be in G.P. with common ratio r , where $\mathrm{a} \neq 0$ and $0<\mathrm{r} \leq \frac{1}{2}$. If $...
JEE Main Mathematics Medium
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Q JEE MAIN 2019
The sum $1+\frac{1^3+2^3}{1+2}+\frac{1^3+2^3+3^3}{1+2+3}+\ldots \ldots$ $$ +\frac{1^3+2^3+3^3+\ldots \ldots+15^3}{1+2+3+\ldots \ldots+15}-\frac{1}{2}(1+2+3 \ldots .+15) $$ is equal to :
JEE Main Mathematics Medium
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Q JEE-MAIN 2020
If the sum of the second, third and fourth terms of a positive term G.P. is 3 and the sum of its sixth, seventh and...
JEE Main Chemistry Easy
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Q JEE MAIN 2020
The minimum value of $2^{\sin x}+2^{\cos x}$ is :
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Let $a_1, a_2, \ldots a_n$ be a given A.P. whose common difference is an integer and $S_n=a_1+a_2+\ldots+$ an. If $a_1=1, a_n=300$ and $...
JEE Main Mathematics Medium
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Q JEE MAIN 2020
The number of terms common to the two A.P.’s 3, 7, 11,.....,407 and 2, 9, 16,.....,709 is______.
JEE Main Mathematics Easy
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Q JEE MAIN 2020
If $1+\left(1-2^2 \cdot 1\right)+\left(1-4^2 \cdot 3\right)+\left(1-6^2 \cdot 5\right)+\ldots \ldots+ \left(1-20^2 \cdot 19\right)=\alpha-220 \beta$, then an ordered pair $(\alpha, \beta)$ is equal to:
JEE Main Mathematics Hard
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Q JEE Main 2019
Which primitive unit cell has unequal edge lengths (a ≠ b ≠ c) and all axial angles different from 90°?
JEE Main Chemistry Easy
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