4.04: Geometric progression from three terms

0606/12/M/J/26 — Question 10 · 8 marks

Three consecutive terms of a geometric progression are \(11x-1\), \(x+5\) and \(x-1\).
(a)
Given that \(x>0\), find the common ratio and the first term.
[6]
(b)
The sum to infinity is \(\dfrac{k}{3}\), where \(k\) is an integer. Find \(k\).
[2]