Question

prove that the difference between 2 consecutive number is one more than three times the product

Answer 1

Sol :-

For a number n, the next two consecutive numbers are (n + 1) and (n + 2). Given below are more consecutive number formulas.

In consecutive numbers, the difference between any predecessor-successor pair is fixed. If we denote the 1st number as n, then the consecutive numbers in the series will be n, n+1, n+2, n+3, n+4, and so on.

For any two consecutive odd numbers, the difference is 2. For example, 3 and 5 are two consecutive odd numbers, their difference = 5 - 3 = 2.

For any two consecutive even numbers, the difference is 2. For example, 6 and 8 are two consecutive even numbers, their difference = 8 - 6 = 2.