ABSTRACT
Consider the following three statements, each involving a general positive integer n:
The sum of the first n odd numbers is equal to n 2.
If p > − 1 then (1 + p) n ≥ 1 + np.
The sum of the internal angles in an n-sided polygon is (n − 2)π.
[A polygon is a closed figure with straight edges, such as a triangle (3 sides), a quadrilateral (4 sides), a pentagon (5 sides), etc.]