1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Induction proof help

  1. Oct 16, 2008 #1
    I need to show that (n^5)/5 + (n^3)/3 + 7n/15 is an integer for all n.


    I tried induction that obviously work for 1 but i could not manage to show this for k+1. Any tips please?
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Oct 16, 2008 #2
    Re: proof

    try expanding the k+1 case. Pascals triangle is a huge help for figuring out how to expand it. After expanding and factoring, you should see the base case and your hypothesis.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook