QJEEAdv05Ma1f59: JEE Advanced 2005 Mathematics - Class 11 JEEAdv05Ma1f59 Solution: If total number of runs scored in n matches is where , and the…

Question

Verified Solution • 2025–26 Session moderate

If total number of runs scored in n matches is

\left( {{{n + 1} \over 4}} \right)\,\,({2^{n + 1}} - n - 2)\,

where

n &gt; 1

, and the runs scored in the

{k^{th}}

match are given by k.

\,{2^{n + 1 - k}}

, where

1 \le k \le n

. Find n.

Accepted Answer

Answer

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