The complete Question is:

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

Answer

a) It is apparent from the letter T that 2 matchsticks will be required to create one T.

If we need to create 2 T, then we will require 2 * 2 = 4 matchsticks, similarly for 3, 2×3=6

So, if n is the number of T, the matchstick required will be 2 * n = 2n

b) It is apparent from the letter Z that 3 matchsticks will be required to create one Z.

If we need to create 2 Z, then we will require 3 * 2 = 6 matchsticks, similarly for 3, 3 * 3 = 9

So if n is the number of Z, the matchstick required will be 3 * n = 3n

c) It is apparent from the letter U that 3 matchsticks will be required to create one U.

If we need to create 2 U, then we will require 3 * 2 = 6 matchsticks, similarly for 3, 3 * 3 = 9

So if n is the number of U are, the matchstick required will be 3 * n = 3n

d) It is apparent from the letter V that 2 matchsticks will be required to create one V.

If we need to create 2 V, then we will require 2*2=4 matchsticks, similarly for 3, 2*3=6

So if n is the number of V, the matchstick required will be 2*n=2n

e) It is apparent from the letter E that 5 matchsticks will be required to create one E.

If we need to create 2 E, then we will require 5*2=10 matchsticks, similarly for 3, 5*3=15

So if n is the number of E, the matchstick required will be 5*n=5n

f) It is apparent from the letter S that 5 matchsticks will be required to create one S

If we need to create 2 S, then we will require 5*2=10 matchsticks, similarly for 3, 5*3=15

So if n is the number of S, the matchstick required will be 5*n=5n

g) It is apparent from the letter A that 6 matchsticks will be required to create one A.

If we need to create 2 A, then we will require 6*2=12 matchsticks, similarly for 3, 6*3=18

So if n is the number of A, the matchstick required will be 6×n=6n