Find the rule which gives the number of matchsticks required to make the following matchsticks 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
Solution
(A)
From the figure we observe that two matchsticks are required to make a letter T. Hence, the pattern is 2n
(B)
From the figure we observe that three matchsticks are required to make a letter Z. Hence, the pattern is 3n
(C)
From the figure we observe that three matchsticks are required to make a letter U. Hence, the pattern is 3n
(F)
From the figure we observe that two matchsticks are required to make a letter V. Hence, the pattern is 2n
(G)
From the figure we observe that 5 matchsticks are required to make a letter E. Hence, the pattern is 5n
(D)
From the figure we observe that 5 matchsticks are required to make a letter S. Hence, the pattern is 5n
(E)
From the figure we observe that 6 matchsticks are required to make a letter A. Hence, the pattern is 6n