(a)[4]
In an arithmetic progression, the first term, second term and final term are $56$, $53$ and $-22$ respectively. Find the sum of all the terms in the progression.
(b(i))[3]
The first three terms of a geometric progression are $2k + 6$, $2k$ and $k + 2$ respectively, where $k$ is a positive constant. Find the value of $k$.
(b(ii))[2]
Find the sum to infinity for the progression.