Question

Match the following figures according to the number of matchsticks required to make them, where n > 0.

• A. 5n + 1
• B. 2n + 1
• C. 4n + 1

Answer 1

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,