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Sequences and Series — JEE Main PYQs

304 previous year questions on Sequences and Series (Mathematics), newest first. Open any question for its complete step-by-step solution.

The sum of the series $1 + \frac{1}{4.2 !} + \frac{1}{16.4 !} + \frac{1}{64.6 !} + \dots\dots .$ ad inf. is
JEE Main 2005View solution →
Let $T_{r}$ be the rth term of an A.P. whose first term is a and common difference is $d$ . If for some positive integers $m, n, m \neq = n, T_{m} = \frac{1}{n}$ and $T_{n} = \frac{1}{m}$ , then $a - d$ equals
JEE Main 2004View solution →
The sum of the first $n$ terms of the series $1^{2} + 2 \cdot 2^{2} + 3^{2} + 2 \cdot 4^{2} + 5^{2} + 2 \cdot 6^{2} + \dots$ is $\frac{n ( n + 1 ) ^{2}}{2}$ when n is even. When n is odd the sum is
JEE Main 2004View solution →
The sum of series $\frac{1}{2 !} + \frac{1}{4 !} + \frac{1}{6 !} + \dots$ is
JEE Main 2004View solution →