A boy took a few matchsticks and started making triangles with it. Three matchsticks were required for making a single triangle and six for making two and so on. He finished the entire match box in making triangles.Which of the following gives the number of matchsticks if the number of triangles formed is n?

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Solution

The correct option is C
3n

Observe the following pattern, 3 matchsticks were required for making one triangle, 6 for two, 9 for three, 12 for four and so on. We can observe that number of matchsticks is thrice the number of triangles formed, so we can write a rule for number of matchsticks as '3n' where n is the number of triangles made.

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