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Binomial Coefficient problem

  • Thread starter gschjetne
  • Start date
  • #1
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I'm working on an IB mathematics portfolio, and here's a problem I don't understand:
The formula for the general term is
[tex]
T_n+1=C_n^r a^{n-r} b^r
[/tex]
Verify this formula by examples. This is the formula for the [itex](r+1)[/itex]-th term.
What would the formula for the [itex]r[/itex]-th term be?
It's not specified what [itex]a[/itex] and [itex]b[/itex] is supposed to represent. That's where I need some explanation.
I already made a nice Pascal triangle all the way to the 10th row.
All help is appreciated.
 

Answers and Replies

  • #2
dextercioby
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My guess is that it comes from the expansion:

[tex] (a+b)^{n}=\sum_{k=0}^{n}C_{n}^{k} a^{n-k}b^{k} [/tex]

Daniel.

PS.Can u handle the [itex] (n-1) [/itex] term part??
 
  • #3
94
0
Thanks, I'll give it a try
 

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