Prove that ?n/2? ? n/2? = ?n2/4? for all integers n.

Solution:Step-1: In this problem we need to prove that for all integers n………(1) NOTE: The symbols for floor and ceiling are like the square brackets [ ] with the top or bottom part missing. Example : Case(1) : If n is an even integer. Let us consider , n = 2a then , since from(1)That implies , That implies , Therefore...