(a(i))[2]
Find an expression, in terms of $n$, for the $n$th term in this sequence $1,\,7,\,13,\,19,\,25,\ldots$
(a(ii))[1]
Explain why $251$ cannot be a term of this sequence.
(b(i))[1]
Consider the sequence $5,\,8,\,13,\,20,\,29,\ldots$\nIts $p$th term is $p^2+4$.\nWrite down an expression, in terms of $p$, for the $p$th term of the sequence $-2,\,1,\,6,\,13,\,22,\ldots$
(b(ii))[1]
Write down an expression, in terms of $p$, for the $p$th term in the sequence $7,\,12,\,19,\,28,\,39,\ldots$
(c(i))[1]
Draw Pattern $4$ on the dotty grid underneath.
(c(ii))[2]
Complete the table below to show the number of short lines in Patterns $4$ and $5$.
(c(iii))[2]
Find an expression, in terms of $t$, for how many short lines there are in Pattern $t$.