If C0,C1,C2,…,Cn denote the binomial coefficients of the expansion ( – InterviewSolution

1.	If C0,C1,C2,…,Cn denote the binomial coefficients of the expansion (1+x)n and n∑r=0(−1)r nCr[12r+3r22r+7r23r+… upto m terms]= \dfrac{a^{mn}-1}{b^{mn}(c^n-1)},$ then
Answer» If $C_{0}, C_{1}, C_{2}, \dots, C_{n}$ denote the binomial coefficients of the expansion $(1 + x)^{n}$ and $n \sum r = 0 (- 1)^{r}^{n} C_{r} [\frac{1}{2^{r}} + \frac{3^{r}}{2^{2 r}} + \frac{7^{r}}{2^{3 r}} + \dots upto m terms]$ = \dfrac{a^{mn}-1}{b^{mn}(c^n-1)},$ then

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