Question

# Find the rule which gives the number of matchsticks required to make the following matchstick patterns. Use a variable to write the rule. (a) A pattern of letter T as T (b) A pattern of letter Z as Z (c) A pattern of letter U as U (d) A pattern of letter V as V (e) A pattern of letter E as E (f) A pattern of letter S as S (g) A pattern of letter A as A

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Solution

## (a) From the figure, it can be observed that it will require two matchsticks to make a T. Therefore, the pattern is 2n. (b) From the figure, it can be observed that it will require three matchsticks to make a Z. Therefore, the pattern is 3n. (c) From the figure, it can be observed that it will require three matchsticks to make a U. Therefore, the pattern is 3n. (d) From the figure, it can be observed that it will require two matchsticks to make a V. Therefore, the pattern is 2n. (e) From the figure, it can be observed that it will require five matchsticks to make an E. Therefore, the pattern is 5n. (f) From the figure, it can be observed that it will require five matchsticks to make a S. Therefore, the pattern is 5n. (g) From the figure, it can be observed that it will require six matchsticks to make an A. Therefore, the pattern is 6n.

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