November 13, 2015, when expressed in MM/DD/YY format, is 11/13/15. The MM, DD and YY terms, in that order, form an arithmetic progression. It is non-trivial because the three numbers are different.

The first such date in any given century is 01/02/03. What is the last non-trivial arithmetic progression in the century?

What is the last non-trivial geometric progression in the century?

Last Arithmetic progression in the century is 12/06/00, because the last year in any given century ends in 00.
Last geometric progression in the century is 08/28/98.

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