3.53: AP of twelve terms and GP sum inequality

0606/22/O/N/23 — Question 9 · 10 marks

(a)
An AP has twelve terms. Sum of first three is 36-36; sum of last three is 7272. Find aa and dd.
[5]
(b)
A GP has first three terms 11, 1.21.2, 1.441.44. Find the smallest nn with Sn>500S_{n}>500.
[5]