SOLUTION: Prove that |n/2|*|n/2| = |(n^2)/4| For all integers 𝑛.

Algebra.Com
Question 1195208: Prove that
|n/2|*|n/2| = |(n^2)/4|
For all integers 𝑛.

Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

It is a valid algebraic identity.

Therefore, it is true for all integer and even all real numbers.



RELATED QUESTIONS

Prove that (n+1)! >2 n for all n>1. (answered by rothauserc)
Prove that for all positive integers n,... (answered by Edwin McCravy)
Use mathematical induction to prove each statement is true for all positive integers n:... (answered by math_helper)
prove that for all positive integers n, sigma(2n) is greater than 2*sigma (n) (where... (answered by richard1234)
prove that : n! (n+2) = n! +... (answered by tommyt3rd)
prove that p(n,n)=... (answered by Edwin McCravy)
show that 1(1!)+2(2!)+3(3!)+...+n(n!)= (n+1)!-1 for all positive integers... (answered by venugopalramana)
Prove n!>n^2 for n>=4 and n!>n^3 for n>=6 by using Principle of Mathematical... (answered by Edwin McCravy)
prove that: 1+2+3+....+n =... (answered by ikleyn)