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

32.4.6 Finding a Specific Term or Coefficient

32.4 The Binomial Theorem and Pascal's Triangle

Point 6 of 7

32.4.6 Finding a Specific Term or Coefficient

Core idea

For the constant term or the coefficient of a certain power, set the exponent of x in the general term equal to your target, solve for k, and substitute back

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 · 32.4.6 Finding a Specific Term or Coefficient