0606 P11 - Jun 2022 - Q7 - 9 marks
7787
(a) The first three terms of an arithmetic progression are \(\lg3\), \(3\lg3\), \(5\lg3\). Given that the sum to \(n\) terms is \(256\lg81\), find \(n\).
(b) The first three terms of a geometric progression are \(\ln256\), \(\ln16\), \(\ln4\). Find the sum to infinity in the form \(p\ln2\).
