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Let alpha sumk0n frac n Ck2k1 and beta sum k0n1 frac n Ck n Ck1k2: (Mathematics) | DivineJEE

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Mathematics

Exam

Mathematics

Let

\alpha = \sum_{k=0}^{n} \frac{(^nC_k)^2}{k+1}

and

\beta = \sum_{k=0}^{n-1} \frac{^nC_k \cdot ^nC_{k+1}}{k+2}. \\

If

5\alpha = 6\beta

, then n equals

\_\_\_\_\_\_\_

.

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