Prove-the-identity-for-any-n-in-Real-number-n-2-n-1-2-1-4-n-2-2-n-2-n-Greatest-Integer-Function-

Question Number 162411 by HongKing last updated on 29/Dec/21

Prove the identity for any^{'} n^{'} in Real number

[\frac{n}{2}] \cdot [\frac{n + 1}{2}] = \frac{1}{4} ({[n]}^{2} + 2 [\frac{n}{2}] - [n])

[*] Greatest Integer Function