Question 13 - A-Level Maths

Exam Board	AQA
Module	Further AS Paper 1 (Further AS Paper 1)
Year	2021
Session	June
Marks	4
Topic	Function Transformations
Type	Describe transformation from graph

13 Prove by induction that, for all integers $n \geq 1$ $$\sum _ { r = 1 } ^ { n } 2 ^ { - r } = 1 - 2 ^ { - n }$$ [4 marks]