Answer: 1.05.
- A 1.01
- B 1.15
- C 1.50
- D 1.05
Correct answer: D. 1.05
Explanation: (1+0.01)<sup>5</sup> approx 1 + 5(0.01) = 1.05 (first two terms of binomial expansion, higher powers negligible).
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