AS Pure Chapter 8: The Binomial Expansion

4 flashcards · Mathematics · by TheoTyson

1. How is Pascal's triangle formed?

   By adding adjacent pairs of numbers to find the numbers on the next row.

2. Which row of Pascal's triangle gives the coefficients in the expansion of (a+b)n(a+b)^n(a+b)n ?

   The (n+1)(n+1)(n+1) th row of Pascal's triangle.

3. What is n!n!n! (factorial)?

   n!=nn! = nn!=n x (n−1)(n-1)(n−1) x (n−2)(n-2)(n−2) ... 333 x 222 x 111

4. General term of the expansion of (a+b)n(a+b)^n(a+b)n ?

   nCr^{n}C_{r}nCr​ x an−ra^{n-r}an−r x brb^rbr