A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
prove that 4^k > k^3
anonymous
 5 years ago
prove that 4^k > k^3

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i mean k positive integer?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0cantor it would work for non integers to... trying to think how you would prove it though

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0sorry..should have mentioned the conditions...k are positive integers...need to prove by mathematical induction..

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thought so..... I was about to say induction

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0well when k = 0 the expression becomes 4^0>0^3 which becomes 1>0 which is true and as the value of k increases the first side of the expression increases at a much more rapid rate so that is why this is going to be true for all positive integers of k

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0check this page out http://answers.yahoo.com/question/index?qid=20101204110027AASBIgf it is similar to your problem and should walk you through the process, which is a long process

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes Nikko..that is true. but this is by intuition...proof by induction is bit complicated

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0give the base case, inductive hypothesis , and then prove by induction

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you Nadeem...i'll go through the site

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the only difference is that they had a parameter where \[n \ge5\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0give me a sec to work this out
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.