Find the positive integer n for which 2 2^2 + 3 2^3 + 4 2^4 + - Maths - Sequences and Series

Question

Find the positive integer n for which 2?2^2 + 3?2^3 + 4?2^4 + +
n?2^n = 2^(n+10)

Aakash Paran Baishya · Accepted Answer

Find the positive integer n for which 2?2^2 + 3?2^3 + 4?2^4 + .... + n?2^n = 2^(n+10).