Suppose we use matchsticks to form letter C

6.jpg

Here, we used 3 matchsticks

 

Suppose, we want to Make more than one C

Matchstick  Pattern − C - Part 2

 

Matchstick  Pattern − C - Part 3

So,

2 Cs require 6 matchsticks

3 Cs require 9 matchsticks

4 Cs require 12 matchsticks

And so on………

 

We can say that,

Number of matchsticks = 3 × Number of C

Writing n = number of Cs

Number of matchsticks = 3n

Matchstick  Pattern − C - Part 4

Let’s Check

For n = 1, Number of matchsticks = 3 × 1 = 3

For n = 2, Number of matchsticks = 3 × 2 = 6

For n = 3, Number of matchsticks = 3 × 3 = 9

 

So, Writing

  Number of matchsticks = 3n

makes our job easier.

 

Suppose we have to make 100 Cs

     Number of matchsticks = 3 × 100

            = 300

 

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.