The sequence is formed from patterns using lines and dots. The first three patterns in the sequence are displayed. In each pattern, crosses are shown, made from lines with dots arranged around them. The captions beneath the diagrams are: Pattern 1, Pattern 2, Pattern 3, Pattern 4.
(a)[1]
Draw the grid version of Pattern 4.
(b)[4]
Complete the table by filling in the missing entries.
(c(i))[1]
Find an expression, in terms of $n$, for the number of dots in Pattern $n$.
(c(ii))[2]
Find an expression, in terms of $n$, for the number of lines in Pattern $n$.
(d)[2]
Work out the number of dots in this pattern.
Worked solution & mark scheme
This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Accurate dot diagram” …