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Sequences and Series

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN_2025
If the sum of the second, fourth and sixth terms of a G.P. of positive terms is 21 and the sum of its eighth, tenth...
JEE Main Physics Easy
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Q JEE MAIN_2025
Let $a_n$ be the $n^n$ term of an A.P. If $S_n=a_1+a_2+a_3+\ldots+a_n=700, a_0=7$ and $S_7=7$, then $a_n$ is equal to:
JEE Main Physics Easy
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Q JEE MAIN 2025
The number of terms of an A.P. is even; the sum of all the odd terms is 24 , the sum of all the even...
JEE Main Mathematics Medium
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Q JEE MAIN 2025
If the sum of the first 20 terms of the series $$ \frac{4 \cdot 1}{4+3 \cdot 1^2+1^4}+\frac{4 \cdot 2}{4+3 \cdot 2^2+2^4}+\frac{4 \cdot 3}{4+3 \cdot 3^2+3^4}+\frac{4...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Consider two sets A and B, each containing three numbers in A.P. Let the sum and the product of the elements of $A$ be 36...
JEE Main Physics Medium
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Q JEE MAIN 2023
The sum to 20 terms of the series $2.2^2-3^2+2.4^2-5^2+2.6^2-\ldots \ldots$ is equal to $\_\_\_\_$ .
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $s 1, s 2, s s_{3000-u s 10}$ respectively be the sum to 12 terms of 10 A.P.s whose first terms are $...
JEE Main Mathematics Easy
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Q JEE MAIN 2023
If the sum of the series
JEE Main Mathematics Medium
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Q JEE MAIN 2023
Let $A_1$ and $A_2$ be two arithmetic means and $G_1, G_2, G_3$ be three geometric means of two distinct positive numbers. The $G_1^4+G_2^4+G_3^4+G_1^2 G_3^2$ is...
JEE Main Mathematics Easy
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Q JEE-Main 2023
The sum of the first 20 terms of the series 5 +11 + 19 + 29 + 41 + ... is
JEE Main Mathematics Easy
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