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Precalculus Mathematics Homework Help
Use of binomial theorem in a sum of binomial coefficients?
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[QUOTE="Ray Vickson, post: 5268964, member: 330118"] Are the coefficients supposed to be ##(-3)^0, (-3)^1, (-3)^2, \ldots##? If so, what is preventing you from using the formula you wrote under heading 2? I assume you mean [tex] S_n = \begin{cases} \displaystyle \sum_{k=0}^{m-1} (-3)^k {2m \choose 2k+1}, & n = 2m \\ \displaystyle \sum_{k=0}^m (-3)^k {2m+1 \choose 2k+1}, & n = 2m + 1 \end{cases} [/tex] If so, these are not particularly easy to determine. A computer algebra package such as Maple or Mathematica can determine the answers. You can also submit them to the free on-line package Wolfram Alpha. [/QUOTE]
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Precalculus Mathematics Homework Help
Use of binomial theorem in a sum of binomial coefficients?
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