The diagram presents the first three patterns in a sequence.
They are named Pattern 1, Pattern 2 and Pattern 3, and each is formed from unit squares laid out horizontally with a vertical block underneath.
Pattern 4 is not shown.
(a)[1]
Using the grid, draw pattern 4.
(b(i))[2]
Write down the next two terms.
(b(ii))[1]
Write down the rule used to extend this sequence.
(c(i))[2]
Write down a formula for the $n$th term.
(c(ii))[2]
Is 129 included in this sequence? Show how you decide.
Worked solution & mark scheme
This 8-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Pattern 4 drawn correctly” …