Discrete Math □ Prove or disprove: If n is any odd integer then (-1)"--1 Problem 6:
Discrete Math: Divisibility (Need Help ASAP, will upvote) 1) Prove that if n is an odd positive integer, then n^2 is congruent to 1 (mod 8)
1. Prove with a direct proof or disprove by counterexample. If x is an odd integer, then x3 is an odd integer.
discrete math question using proofs to determine to prove the following equation or disprove it 4. Prove or disprove. Let A, B, C, and D be sets. Then (Ax B)n (CxD) (Ancx (B nD) 5. Prove or disprove: {2k 1 k E Q} {4" | k E Q) F6 7 Prove or disprove. Let A be a set and let I be an arbitrary index set for a collection of sets {Be l α E 1). Then, 6. An(UP)-a αΕΙ
HELPPPP!!!! sepcific explanation is best !!! this is discrete mathematics content. 1. Prove, or disprove by finding a counterexample: If a|bc where a,b and c are positive integers then a b or a c. 2. Let n be an odd integer. Show that there is an integer k such that n2 = 8k +1.
Using discrete mathematical proofs: a. Prove that, for an odd integer m and an even integer n, 2m + 3n is even. b. Give a proof by contradiction that 1 + 3√ 2 is irrational.
Discrete Math Use division into two cases to prove that for every integer n, 2\n(3n + 1).
Prove/disprove with mathematical induction that for any positive integer, n: In text form: 1 + 2 + . . . + n = (n*(n+1))/2 Please provide actual answer instead of a link to an answer that is incorrect...
Assume n is an integer. Prove that n is odd iff 3n2 + 4 is odd. Remember that to prove p iff q, you need to prove (i) p → q, and (ii) q → p. Use the fact that any odd n can be expressed as 2k + 1 and any even n can be expressed as 2k, where k is an integer. No other assumptions should be made.
Discrete mathematics Prove that the product of an odd integer and an even integer is always even.
Prove that if m is an odd integer then there is an integer n such that n= 4m+ 1 or n= 4m+ 3. Use a proof by cases.