7.4: Summary
- Page ID
- 60107
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- If \(n > 0\) is an integer, then
\(\binom{−n}{r} = (−1)^r \binom{n + r − 1}{r}\).
- The Generalised Binomial Theorem
- \(1 + x + . . . + x^k = \dfrac{(1 − x^{k+1})}{(1 − x)}\)
- Using generating functions for counting things
- Important Definitions:
- Generating function for a sequence
- Generalised binomial coefficient