Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Binomial theprem and expansion

  1. Apr 1, 2012 #1

    rohan03

    User Avatar

    (1+x)^n=1+nx/1!+(n(n-1) x^2)/2!+⋯+ what are the last few terms of this ? I looked and tried but don't seem to get any text book answer for this.
     
    rohan03, Apr 1, 2012
  2. jcsd
    Phys.org - latest science and technology news stories on Phys.org
  3. Apr 1, 2012 #2

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    hi rohan03! :smile:

    (try using the X2 and X2 buttons just above the Reply box :wink:)

    the binomial coefficients are symmetric (nCr = nCn-r),

    so it ends … + n(n-1) xn-2/2! + nxn-1/1! + xn :wink:​
     
    tiny-tim, Apr 1, 2012
  4. Apr 1, 2012 #3

    rohan03

    User Avatar

    Thank you . Can I prove with the help of this :
    (1+n)n ≥ 5/2nn- 1/2n n-1
     
    rohan03, Apr 1, 2012
  5. Apr 1, 2012 #4

    rohan03

    User Avatar

    and if yes - please guide on how
     
    rohan03, Apr 1, 2012
  6. Apr 1, 2012 #5

    tiny-tim

    User Avatar
    Science Advisor
    Homework Helper

    just write out the last three terms …

    what do you get? :smile:​
     
    tiny-tim, Apr 1, 2012
  7. Apr 1, 2012 #6

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    This was also posted under "homework" so I am closing this thread.
     
    HallsofIvy, Apr 1, 2012
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Binomial theprem and expansion

  1. Binomial expansion (Replies: 7)

  2. Binomial expansion (Replies: 1)

  3. What is binomial expansion? (Replies: 1)

  4. Binomial expansion |n|<1 (Replies: 1)

  5. Binomial expansion (Replies: 7)

Loading...