For any three consecutive members of a sequence, the first and third members are near consecutive.
1 squared is 1. 2 squared is 4. So 1 and 4 are consecutive perfect squares.
1 squared is 1. 3 squared is 9. So 1 and 9 are near consecutive perfect squares.
I want to verify this formula to go from any perfect square to the next near consecutive perfect square. Let a be any perfect square. Let c be the next near consecutive perfect square. Here is the formula:
Did I get the formula right? Is my terminology ok?