1. Not finding help here? Sign up for a free 30min 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!

Proof by Induction - Requires calculus

  1. Mar 13, 2008 #1
    [SOLVED] Proof by Induction - Requires calculus

    I have recieved a question that i have been trying to do and requires a proof to prove that it is true. The question is here:


    I am having some trouble to prove this as at some stage u are required to use differentiation and integration however i do not know hw to accomplish this, could somebody help me get on the right track and start me off for this question as i am having moderate difficulty? thankyou
  2. jcsd
  3. Mar 13, 2008 #2


    User Avatar
    Science Advisor
    Gold Member

    Start with expanding (1+x)n using the binomial theorem and get
    1) (1+x)n=c0+c1x+......cnxn
    Take the first derivative and get
    2) n(1+x)n-1=c1+......ncnxn-1

    Finally, let x=1 and add 1 and 2 together to get the desired result.
  4. Mar 13, 2008 #3
    Please delete thread, thankyou
    Last edited: Mar 14, 2008
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?

Similar Discussions: Proof by Induction - Requires calculus
  1. Proof by Induction (Replies: 7)

  2. Proof by Induction (Replies: 2)