Let i = -1 . If (-1+i 3)^ 21 (1-i)^ 24 + (1+i 3)^ 21 (1+i)24 =k, and n = [|k|] be the greatest integral part...

Question

Let i = -1 . If (-1+i 3)^ 21 (1-i)^ 24 + (1+i 3)^ 21 (1+i)24 =k, and n = [|k|] be the greatest integral part of |k|. Then _ j=0 ^ n+5 (j+5)^2- _ j=0 ^ n+5 (j+5) is equal to_______.

Accepted Answer

310

JEE Main 2021 Mathematics question

Solution