Question 9 - A-Level Maths

Exam Board	Edexcel
Module	C2 (Core Mathematics 2)
Topic	Geometric Sequences and Series

The second and fifth terms of a geometric series are - 48 and 6 respectively.
1. Find the first term and the common ratio of the series.
2. Find the sum to infinity of the series.
3. Show that the difference between the sum of the first \(n\) terms of the series and its sum to infinity is given by \(2 ^ { 6 - n }\).