(a(i))[2]
Find an expression for $S_n$, the $n$th term in this sequence.
(a(ii))[1]
Find the smallest value of $n$ for which $S_n < 0$.
(b(i))[2]
The $n$th term of another sequence, $T$, is $T_n = n^2 - 4n$. Find and simplify an expression for $T_{n+1} - T_n$.
(b(ii))[1]
If the difference between $T_{p+1}$ and $T_p$ is $75$, Find the value of $p$.