Formula for Calculating Cases with n: A Pattern Revealed

The formula for the number of cases when 'n' is a positive integer can be represented as follows:

Number of Cases = n^2 - n + 1

Using this formula, when n = 2, the number of cases would be:

Number of Cases = 2^2 - 2 + 1 = 1

When n = 3, the number of cases would be:

Number of Cases = 3^2 - 3 + 1 = 9 - 3 + 1 = 7 + 1 = 8

When n = 4, the number of cases would be:

Number of Cases = 4^2 - 4 + 1 = 16 - 4 + 1 = 12 + 1 = 13

And so on...