When we last left off this topic, we were looking at the sequence “Four”, “Twelve”, “Thirty three”, “Thirty six”. The pattern here comes from the number of letters in each entry: 4, 6, 11 and 9, respectively.
And that gives us a pattern: 4/4 = 1, 12/6 = 2, 33/11 = 3, 36/9 = 4.
So what might come next in the sequence? I managed to find two answers:
Thirty
Forty five
In the first case, 30/6 = 5. In the second case, 45/9 = 5.
I wonder whether it is possible to prove whether these are the only two possible answers. Also, I wonder whether it is possible to prove anything about the sequence in general.