This morning I got up at eight minutes past six. So what, you ask? Well, that means I got out of bed at 06:08 10/12/14*, which is a very nice arithmetic progression. That is, today’s date is a series of numbers with a constant difference (in this case, the constant difference is 2).
Question: Which dates (and times, if you wish) next year will form arithmetic progressions? And which, if any, will form a geometric progression (in which each term after the first is found by multiplying its predecessor by a fixed constant)?
*Unless you live in the US — in which case, pretend today is October 12th.