(a)[1]
Using the grid, draw Diagram 4.
(b)[2]
Fill in the table.
(c(i))[2]
Find an expression for the number of sticks in Diagram $n$, in terms of $n$.
(c(ii))[2]
Find its Diagram number.
(d(i))[1]
Show that the total number of sticks required to make the first 3 diagrams is $27$.
(d(ii))[2]
Show that this expression produces the correct total number of sticks needed for the first 3 diagrams.
(d(iii))[4]
Work out how many sticks he will have left once all 10 diagrams are made.