A community for students.
Here's the question you clicked on:
← 55 members online
 0 viewing
tux
 3 years ago
Discrete math
Prove directly
For n∈N, if n is odd, then 3n+1 is even
For x,y∈R, if x and y are rational, then x+2y is rational
Prove by contrapositive
For n ∈N if n^3 is odd, then n is odd
tux
 3 years ago
Discrete math Prove directly For n∈N, if n is odd, then 3n+1 is even For x,y∈R, if x and y are rational, then x+2y is rational Prove by contrapositive For n ∈N if n^3 is odd, then n is odd

This Question is Closed

hoblos
 3 years ago
Best ResponseYou've already chosen the best response.1first one.. n is odd so it can be written as 2k+1 3n+1 = 3(2k+1) +1 = 6k +4 = 2(3k+2) and this is even for any k

tux
 3 years ago
Best ResponseYou've already chosen the best response.0contrapositive: n=2k (2k)^3=8k^3=2*(4k^3)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.