When I go up my stairs in a hurry, I take some steps two-at-a-time.
This morning, I climbed my thirteen steps in this pattern: 1, 2, 1, 2, 1, 1, 2, 1, 2.
Yesterday the pattern was 1, 1, 1, 1, 1, 1, 2, 2, 1, 2.
How many days do you think I can go before I have to repeat a pattern?
This is from the NRICH site.
and is referenced in this blog post from Math with bad Drawings.
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