3.36: GP with S4=17S2S_4=17S_2

0606/13/O/N/21 — Question 5 · 6 marks

(a)
A GP has S4=17S2S_{4}=17S_{2} with r>0r>0, r1r\neq1. Find rr.
[3]
(b)
Given the 66th term is 6464, find the first term.
[2]
(c)
Explain why this GP does not have a sum to infinity.
[1]