The diagram displays a sequence of patterns. Each pattern contains one additional row, and two extra dots in every row, compared with the previous pattern.
(a)[1]
Use the diagram to draw Pattern $4$.
(b(i))[1]
Complete the table for the sequence's first four patterns.
(b(ii))[1]
Find an expression for $p$ in terms of $n$.
(b(iii))[1]
Find an expression for $q$ in terms of $n$.
(b(iv))[1]
Find an expression for the total number of dots in Pattern $n$, in terms of $n$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Rectangle with a base of 7 dots and a height of 5 dots” …