Answer: Last term T(n+1).
- A First term T₁
- B Middle term
- C Last term T(n+1)
- D Second term T₂
Correct answer: C. Last term T(n+1)
Explanation: The last term T(n+1) = nCn x a<sup>n</sup> = a<sup>n.</sup> It contains b (= a here) to the power n.
Row n of Pascal's triangle gives the coefficients nC0, nC1, ..., nCn for the expansion of (a+b)ⁿ; each number is the sum of the two numbers diagonally above it, a direct visual proof of the identity nCr = (n-1)C(r-1) + (n-1)Cr.
Concept context
Expansion of (a+b) n , general term, middle term, binomial coefficients, and greatest term