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in Algebra by (65.5k points)

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

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(a) A pattern of letter T as T

From the figure, it can be observed that it will required two matchsticks to make a T, 

Therefore the pattern is 2n

(b) A pattern of letter Z as Z

From the figure, it can be observed that it will require three matchsticks two make a Z there fore, the pattern is 3n.

(c) A pattern of letter U as U

From the figure, it can be observed that it will require there matchsticks to make a U.

 Therefore the pattern 3n

(d) A pattern of letter V as V

From the figure it can be observed that it will required two matchsticks to make, a V, 

Therefore, the pattern is 2n

(e) A pattern of letter E as E

From the figure, it can be observed that it will required five matchsticks to make an E. 

Therefore, the pattern in 5n.

(f) A pattern of letter S as S

From the figure, it can be observed that it will require five matchsticks to make a S therefore, the pattern is 5n

(g) A pattern of letter A as A

From the figure, it can be observed that it will required six matchsticks to make an A, therefore, the pattern is 6n.

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