Question

See the figures made with matchsticks:

The numbers of sticks needed for the next figure is

• A. 18
• B. 16
• C. 15
• D. 19

Answer 1

The correct option is A

18

No. of match sticks in fig 1 =9

No. of match sticks in fig 2 =12 =9+3

No. of match sticks in fig 3 =15 =12+3

$\Rightarrow$ The no of sticks are increasing by 3 in every figures.

So the no. of sticks in the next fig will be 15+3=18