4MA0 Foundation June 2013 Paper 1R Q9

EdexcelFoundationOld spec8 marksSequences

9 Here are some patterns made from black tiles.

Patterns of black tiles: pattern 1 one tile, pattern 2 five tiles in an X, pattern 3 nine tiles in an X
(a) In the space below, draw Pattern number 4 (1)

This rule can be used to work out the number of black tiles in each pattern.

Multiply the Pattern number by 4 and then subtract 3 from your result.

(b) Work out the number of black tiles in Pattern number 10 (2)
(c) A pattern is made from 81 black tiles.
Work out the Pattern number. (2)
(d) \(T\) is the number of black tiles in Pattern number \(P\).
Find a formula for \(T\) in terms of \(P\). (3)
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