Let A{t) be an amount function. For every positive integer n, define /„ = A(n) — A{n—\).

(a) Explain verbally what /„ represents

(b) Prove that A(n) - A(0) = h + h + ---¥ h-

(c) Explain verbally the result in part (b).

(d) Is it true that a{n) — ^(0) = i^ + ii + - -\- in? Explain.

AppendixLO1