Write the rule to form the following pattern with match sticks.

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Solution

The match sticks required to form a triangle = 3 = 3 x 1

The match sticks required to form 2 triangles = 6 = 3 x 2

The match sticks required to form 3 triangles = 9 = 3 x 3

The match sticks required to form 4 triangles = 12 = 3 x 4
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Thus, the general rule to form the given pattern will be 3 x n, where n is the number of triangles in the pattern.
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