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Binomial Theorem question

2024 · 30 Jan · Shift 2 · Q59

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PYQ Library
JEE Main
Mathematics
Binomial Theorem
2024 · 30 Jan · Shift 2 · Q59

Binomial Theorem question

2024 · 30 Jan · Shift 2 · Q59

JEE MainMathematicsBinomial TheoremNumerical+4 / −1

Let

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

and

\beta=\sum_{k=0}^{n-1}\left(\frac{{ }^n C_k{ }^n C_{k+1}}{k+2}\right)

If

5 \alpha=6 \beta

, then

n

equals

\underline{\hspace{2cm}}

.

Numerical answer

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