(a(i))[2]
There are $25$ terms in an arithmetic progression, and the first term is $-15$. The total of every term in the progression is $525$. Calculate the common difference of the progression.
(a(ii))[2]
Find the final term in the progression.
(a(iii))[2]
Find the sum of every positive term in the progression.
(b(i))[2]
A college has entered a sponsorship deal so that grants will be paid each year for sports equipment. The grant will be $4000$ in $2012$ and will rise by $5\%$ each year. Calculate the value of the grant in $2022$.
(b(ii))[2]
Calculate the total amount the college will get in the years $2012$ to $2022$ inclusive.