Question

Match the following figures according to the number of matchsticks required to make them.

• A. 1-a; 2-d; 3-c
• B. 1-a; 2-b; 3-c
• C. 1-c; 2-b; 3-a
• D. 1-c; 2-a; 3-d

Answer 1

The correct option is D

1-c; 2-a; 3-d

The number of matchsticks used in the above pattern is $3,5and7$.

The number of matchsticks used can also be represented as:

Hence, it is clear that the above pattern follows $2n+1$.

Similarly, the other patterns follow,