Binomial theprem and expansion

  • Thread starter rohan03
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  • #1
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Main Question or Discussion Point

(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.
 

Answers and Replies

  • #2
tiny-tim
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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:
 
  • #3
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Thank you . Can I prove with the help of this :
(1+n)n ≥ 5/2nn- 1/2n n-1
 
  • #4
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and if yes - please guide on how
 
  • #5
tiny-tim
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Thank you . Can I prove with the help of this :
(1+n)n ≥ 5/2nn- 1/2n n-1
just write out the last three terms …

what do you get? :smile:
 
  • #6
HallsofIvy
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This was also posted under "homework" so I am closing this thread.
 

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