List of top Mathematics Questions on Sequence and Series asked in KEAM

If the mean of the first \(n\) odd numbers is \( \frac{n^2}{81} \), then \(n\) equals

If $a_1, a_2, a_3, a_4$ are in A.P., then $\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + \frac{1}{\sqrt{a_3} + \sqrt{a_4}} =$

The sum of the series $\sum_{n=8}^{17} \frac{1}{(n+2)(n+3)}$ is equal to:

Let \( s_n = \cos\left(\frac{n\pi}{10}\right) \), \( n=1,2,3, \ldots \). Then the value of \( \frac{s_1s_2\cdots s_{10}}{s_1+s_2+\cdots+s_{10}} \) is equal to:

The sum of the series \( \sum_{n=8}^{17} \frac{1}{(n+2)(n+3) \) is equal to:}

Let \( s_n = \cos\left(\frac{n\pi}{10}\right) \), \( n=1,2,3, \ldots \). Then the value of \( \frac{s_1s_2\cdots s_{10}}{s_1+s_2+\cdots+s_{10}} \) is equal to:

The sum of the series \( \sum_{n=8}^{17} \frac{1}{(n+2)(n+3) \) is equal to:}

Let \( s_n = \cos\left(\frac{n\pi}{10}\right) \), \( n=1,2,3, \ldots \). Then the value of \( \frac{s_1s_2\cdots s_{10}}{s_1+s_2+\cdots+s_{10}} \) is equal to: