# 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

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