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in Algebra by (65.5k points)

Look at the following matchstick pattern of squares (Fig). The squares are not separate. Two neighbouring squares have a common matchstick. observe the patterns and find the rule that gives the number of matchsticks

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If can be observed that in the given matchsticks pattern, the number of matchsticks are 4, 7, 10 and 13. which is 1 more than thrice of the numbers of square in the pattern. Hence, the pattern is 3n +1 Where n is the number of squares.

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