Let Cᵣ denote the binomial coefficient...| Binomial Theorem | JEE Main 2022

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JEE MAIN 2022

25-6-2022 S1

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Let $C_r$ denote the binomial coefficient of $x^r$ in the expansion of $(1+x)^{10}$. If $\alpha, \beta \in R . C_1+3 \cdot 2 C_2+5 \cdot 3 C_3+\ldots$. upto 10 terms $=\frac{\alpha \times 2^{11}}{2^\beta-1}\left(C_0+\frac{C_1}{2}+\frac{C_2}{3}+\right.$ upto 10 terms $)$

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