Aa Hl Exam Questionbank | Ib Math

She set down her pen. The screen glowed with the green checkmark of the official answer. Seven out of seven. A perfect paper.

The first question appeared. It was a beast: Find the area bounded by the curve y = e^x sin(x), the x-axis, and the lines x = 0 and x = π. ib math aa hl exam questionbank

Maya stared at the blinking cursor on her laptop. Around her, the dormitory was silent, save for the hum of an old refrigerator and the distant, rhythmic thump of a bass guitar from three floors down. On her screen, a single tab glowed: She set down her pen

She checked the solution bank. Correct. A tiny, fragile smile. A perfect paper

Maya laughed. It was almost elegant. The base case: n=1, 1 1! = 1, and (2)! – 1 = 1. True. The inductive step: Assume true for n. Then add (n+1) (n+1)! to both sides. Left becomes sum to n+1. Right becomes (n+1)! – 1 + (n+1)*(n+1)! = (n+1)!(1 + n + 1) – 1 = (n+2)! – 1. Done.