Question

16. A triangle pattern is shown below.

Answer 1

P = 7n + 20

consider the results of figure to perimeter

1 → 27

2 → 34

3 → 41

the difference between perimeters is 41 - 34 = 34 - 27 = 7

multiplying the figure number by the difference gives

1 × 7 = 7 ← require 27 thus add 20

2 × 7 = 14 ← require 34 thus add 20

3 × 7 = 21 ← require 41 thus add 20

Hence the required equation is

P = 7n + 20