Foundation June 2018 Paper 2 Q6

EdexcelCurrent spec7 marksSequences

6 Here is a sequence of patterns made from dots.

Pattern number 1: 2 by 2 square of 4 dots. Pattern number 2: 3 by 3 open square of 8 dots. Pattern number 3: 4 by 4 open square of 12 dots. Pattern number 4: blank space
(a) Draw Pattern number 4 in the space above. (1)
(b) Complete the table.
Pattern number12345
Number of dots4812
(1)
(c) Work out the number of dots in Pattern number 13 (2)
(d) Find an expression, in terms of \(n\), for the number of dots in Pattern number \(n\). (1)

There are fewer than 90 dots in Pattern number \(k\).

(e) What is the largest possible value of \(k\)? (2)
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