Q. 14.1( 148 Votes )

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

(b) A pattern of letter Z as

(c) A pattern of letter U as

(d) A pattern of letter V as

(e) A pattern of letter E as

(f) A pattern of letter S as

(g) A pattern of letter A as

Answer :

(a)


From the above figure, it can be observed that the letter T will require 2 matchsticks


Therefore,


The pattern is 2n


(b)


From the above figure, it can be observed that the letter Z will require 3 matchsticks


Therefore,


The pattern is 3n


(c)


From the above figure, it can be observed that the letter U will require 3 matchsticks


Therefore,


The pattern is 3n


(d)


From the above figure, it can be observed that the letter V will require 2 matchsticks


Therefore,


The pattern is 2n


(e)


From the above figure, it can be observed that the letter E will require 5 matchsticks


Therefore,


The pattern is 5n


(f)


From the above figure, it can be observed that the letter S will require 5 matchsticks


Therefore,


The pattern is 5n


(g)


From the above figure, it can be observed that the letter R will require 6 matchsticks


Therefore,


The pattern is 6n

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