If total number of runs scored in n matches is (n+14)(2n+1−n−2) wh – InterviewSolution

1.	If total number of runs scored in n matches is (n+14)(2n+1−n−2) where n>1, and the runs scored in the kth match are given by k⋅2n+1−k where 1≤k≤n, then the value of n is
Answer» If total number of runs scored in $n$ matches is $(\frac{n + 1}{4}) (2^{n + 1} - n - 2)$ where $n > 1,$ and the runs scored in the $k^{th}$ match are given by $k \cdot 2^{n + 1 - k}$ where $1 \leq k \leq n,$ then the value of $n$ is

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