Contact us
Back

Report Issue

Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2021
If the arithmetic mean and geometric mean of the $p^{\text {th }}$ and $q^{\text {th }}$ terms of the sequence $-16,8,-4,2, \ldots$ satisfy the equation...
JEE Main Mathematics Hard
View Solution →
Q JEE MAIN 2021
If $\log _3 2, \log _3\left(2^x-\frac{7}{2}\right)$ are in an arithmetic progression, then the value of $x$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2021
The sum of the series $\sum_{n=1}^{\infty} \frac{n^2+6 n+10}{(2 n+1)!}$ is equal to:
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2021
If $[x]$ be the greatest integer less than or equal to $x$, then $\sum_{n=8}^{100}\left[\frac{(-1)^n n}{2}\right]$ is equal to:
JEE Main Mathematics Easy
View Solution →
Q _JEE MAIN_2021
Let $S_n$ denote the sum of first $n$-terms of an arithmetic progression. If $S_{10}=530, S_5=140$, then $S_{20}-S_6$ is equal to
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2021
Let $\left\{a_n\right\}_{n=1}^{\infty}$ be a sequence such that $a_1=1, a_2=1$ and $a_{n+2}=2 a_{n+1}+a_n$ for all $n \geq 1$. Then the value of $47 \sum_{n=1}^{\infty} \frac{a_n}{2^{3 n}}$...
JEE Main Mathematics Hard
View Solution →
Q JEE MAIN 2021
The minimum value of $f(x)=a^{a x}+a^{1-a x}$, where $a, x \in R$ and $a>0$, is equal to :
JEE Main Mathematics Easy
View Solution →
Q JEE MAIN 2021
For $k \in N$, let $\frac{1}{\alpha(\alpha+1)(\alpha+2) \ldots .(\alpha+20)}=\sum_{K=0}^{20} \frac{A_k}{\alpha+k}$, where $\alpha>0$. Then the value of $100\left(\frac{A_{14}+A_{15}}{A_{13}}\right)^2$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2021
Let $S_1$ be the sum of first $2 n$ terms of an arithmetic progression. Let $S_2$ be the sum of first $4 n$ terms of...
JEE Main Mathematics Medium
View Solution →
Q JEE MAIN 2021
If sum of the first 21 terms of the series $\log _{9^{1 / 2}} \mathrm{X}+\log _{9^{1 / 3}} \mathrm{X}+\log _{9^{1 / 4}} \mathrm{X} \ldots$. where...
JEE Main Mathematics Easy
View Solution →