Look at the following matchstick pattern of squares. The squares are not separate. Two neighbouring squares have a common matchstick. What is the rule that gives the number of matchsticks in terms of the number of squares?
(Let the number of squares be x)
The column of 'number of matchsticks - 1' forms the multiplication table of 3. i.e., 3, 6, 9, 12,...
Let the number of squares be x.
The number of matchsticks used in each pattern is 1 more than 3 times the number of squares in it.
∴The number of matchsticks used in each pattern = 3x+1.