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

(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