Question 8 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2019
Session	November
Topic	Geometric Sequences and Series

Over a 21-day period an athlete prepares for a marathon by increasing the distance she runs each day by 1.2 km . On the first day she runs 13 km .
1. Find the distance she runs on the last day of the 21-day period.
2. Find the total distance she runs in the 21-day period.
The first, second and third terms of a geometric progression are \(x , x - 3\) and \(x - 5\) respectively.
1. Find the value of \(x\).
2. Find the fourth term of the progression.
3. Find the sum to infinity of the progression.