4MA0 Foundation January 2012 Paper 1 Q6

EdexcelFoundationOld spec8 marksSequences

6 Here are some patterns made from crosses.

Patterns of crosses in a T shape: pattern 1 has 1 cross, pattern 2 has 4, pattern 3 has 7, pattern 4 has 10
(a) In the space below, draw Pattern number 5 (1)

This rule can be used to find the number of crosses in each pattern.

Multiply the Pattern number by 3 and then subtract 2

(b) Work out the number of crosses in Pattern number 9 (2)
(c) A pattern has 37 crosses.
Work out the Pattern number. (2)
(d) \(N\) is the number of crosses in Pattern number \(P\).
Write down a formula for \(N\) in terms of \(P\). (3)