Here is a sequence of patterns made from circles. (a) In the space below, draw Pattern number 5 (1) (b) Complete the table. (1) (c) Work out the number of circles in Pattern number 8 (1) $$\(C\)$$ is the number of circles in Pattern number $$\(P\)$$ (d) Write down a formula for $$\(C\)$$ in terms of $$\(P\)$$ (2) A different sequence of patterns is made from triangles. The rule to find the number of triangles in each pattern is (e) Is there a pattern in this sequence that is made from exactly 136 triangles? You must give a reason for your answer. (1)

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