Stage 32 · Counting, Permutations, Combinations & the Binomial Theorem

32.4.3 The General Term T(k+1)

32.4 The Binomial Theorem and Pascal's Triangle

Point 3 of 7

32.4.3 The General Term T(k+1)

Core idea

To pull out one term directly, use the general term T(k+1) = C(n,k)·a^(n-k)·b^k, without expanding the whole string

Module goal. Use combination numbers to explain the expansion of (a+b)^n, master the general term and the pattern of the coefficients, and connect it to Pascal's triangle, paving the way for the binomial distribution in the next stage on probability

eastmath.com · 32.4 The Binomial Theorem and Pascal's Triangle · 32.4.3 The General Term T(k+1)