Matchstick Patterns

Matchstick Patterns

No. of matchsticks used to make 1st square = 4

No. of matchsticks used to make 2nd square = 7

No. of matchsticks used to make 3rd square = 10

So, the pattern that we observe here is 3n + 1

With this pattern, we can easily find the number of matchsticks required in any number of squares.

Example

How many matchsticks will be used in the 40th figure?

Solution

3n + 1

3 × 40 + 1

= 121 matchsticks

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