题目
Problem
A geometric progression has first term and second term .
(a) Find the common ratio of the geometric progression. Give your answer in the form , where is an integer to be found.
[3]
(b) Find the sum to infinity of the geometric progression.
[2]
题目中文翻译
一个等比数列的第一项为 ,第二项为 。
(a) 求这个等比数列的公比。答案写成 的形式,其中 是需要求出的整数。
(b) 求这个等比数列的无穷和。