(a)[4]
An arithmetic progression begins with $32$, has a 5th term of $22$ and ends with $-28$. Determine the sum of every term in the progression.
(b)[3]
A school sets aside a sum of money for the library each year. The amount set aside rises by $2.5\%$ of the amount set aside in the previous year. In $2005$ the school set aside $\$2000$. Determine the total amount set aside in the years $2005$ to $2014$ inclusive.