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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2019
If the sum and product of the first three terms in an A.P. are 33 and 1155, respectively, then a value of its 11th term...
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Q JEE MAIN 2019
The sum of the series 1 + 2 × 3 + 3 × 5 + 4 × 7 + ... upto 11th term is :
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Q JEE Main 2021
If $S=\frac{7}{5}+\frac{9}{5^2}+\frac{13}{5^3}+\frac{19}{5^4}+\ldots$, then 160 S is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2020
Five number are in A.P., whose sum is 25 and product is 2520 . If one of these five numbers is $-\frac{1}{2}$, then the greatest...
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Q JEE MAIN 2020
The greatest positive integer k , for which $49^{\mathrm{k}}+1$ is a factor of the sum $49^{125}+49^{124}+\ldots \ldots+49^2+49+1$, is
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Q JEE Main 2021
Let $a_1, a_2, a 3, \ldots$ be an A.P. If $\frac{a_1+a_2+\ldots+a_{10}}{a_1+a_2+\ldots+a_p}=\frac{100}{p^2}, p \neq 10$, then $\frac{a_{11}}{a_{10}}$ is equal to :
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Q JEE MAIN 2021
Three numbers are in an increasing geometric progression with common ratio $r$. If the middle number is doubled, then the new numbers are in an...
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Q JEE MAIN 2021
The sum of 10 terms of the series $\frac{3}{1^2 \times 2^2}+\frac{5}{2^2 \times 3^2}+\frac{7}{3^2 \times 4^2}+\ldots$ is :
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Q JEE MAIN 2021
If for $x, y \in R, x>0$, $y=\log _{10} x+\log _{10} x^{1 / 3}+\log _{10} x^{1 / 9}+\ldots \ldots$ upto $\infty$ terms and $...
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Q JEE Main 2021
If the sum of an infinite GP a, ar, $a r^2, a r^3, \ldots$ is 15 and the sum of the squares of its each...
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