(a(i))[1]
The $n$th term of a sequence is $n^{2}-5n$. Determine the $2$nd term of the sequence.
(a(ii))[2]
The $p$th term in the sequence equals $150$. Determine the value of $p$.
(b)[2]
For another sequence, the $n$th term is $3n^{2}-kn$. Its $5$th term is $55$. Determine the value of $k$.