AnswersComputer ScienceDiscrete MathematicsGive a proof of the theorem, "if n is odd, then n squared is odd".Jan. 28, 2023Archangel MacsikaGive a proof of the theorem, "if n is odd, then n squared is odd".The Answer to the Questionis below this banner.Can't find a solution anywhere?NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT?Get the Answers Now!You will get a detailed answer to your question or assignment in the shortest time possible.Here's the Solution to this QuestionLet nn be an odd number. Then n=2k+1n=2k+1 for some integer k.k. It follows that n^2=(2k+1)^2=4k^2+4k+1=2(2k^2+2k)+1=2s+1,n2=(2k+1)2=4k2+4k+1=2(2k2+2k)+1=2s+1, where s=2k^2+2ks=2k2+2k is an integer number. Therefore, nn squared is odd.