Let n∈N and [x] denote the greatest integer less than or equal to x. – InterviewSolution

1.	Let n∈N and [x] denote the greatest integer less than or equal to x. If the sum of (n+1) terms nC0, 3⋅nC1, 5⋅nC2, 7⋅nC3,… is equal to 2100⋅101, then 2[n−12] is equal to
Answer» Let $n \in N$ and $[x]$ denote the greatest integer less than or equal to $x .$ If the sum of $(n + 1)$ terms $^{n} C_{0}, 3 \cdot^{n} C_{1}, 5 \cdot^{n} C_{2}, 7 \cdot^{n} C_{3}, \dots$ is equal to $2^{100} \cdot 101,$ then $2 [\frac{n - 1}{2}]$ is equal to

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