Question

The first figure takes 5 matchstick squares to build, the second takes 9 to build, and the third takes 13 to build, as can be seen by clicking on the icon below.

(a) How many matchstick squares will it take to build the 10th figure?
(b) How many matchstick squares will it take to build the nth figure?
(c) How many matchsticks will it take to build the nth figure?
Click the icon to view the matchstick square figures.
(a) The 10th figure will take squares to build. (Simplify your answer.)

Answer 1

5, 9, 13, 17, 21, 25, 29, 33, 37, 41

Explanation:

every time you go up one number, there is a 4 matchstick difference

the ninth figure therefore would be using 37 matchstick squares (:

hope this helped have a good day!