(a(i))[1]
These are the first five terms in a sequence: $5,\ 12,\ 19,\ 26,\ 33$. Find the next term in the sequence.
(a(ii))[2]
Find a formula for the $n$th term of the sequence.
(a(iii))[3]
The terms $T_k$ and $T_{k+1}$ are consecutive terms in the sequence. Their total is $703$. Find the value of $k$.
(b)[5]
The expression for the $n$th term of another sequence is $n^2 + an + b$. The $1$st term is $3$. The $3$rd term is $19$. Find the $6$th term of the sequence.