Question 9 - A-Level Maths

Exam Board	CAIE
Module	P1 (Pure Mathematics 1)
Year	2010
Session	November
Topic	Geometric Sequences and Series

A geometric progression has first term 100 and sum to infinity 2000. Find the second term.
An arithmetic progression has third term 90 and fifth term 80 .
1. Find the first term and the common difference.
2. Find the value of \(m\) given that the sum of the first \(m\) terms is equal to the sum of the first ( \(m + 1\) ) terms.
3. Find the value of \(n\) given that the sum of the first \(n\) terms is zero.