What number will extend the following sequence?
1, 6, 8, 3, 7, ...
Crypto hint: REBMU NTIGI DEERH TASTI
(In reply to
solution with explanation by John Reid)
One of my comments in the previous post was perhaps not as accurate as it could have been. I claimed that any number of at least 3 digits that ended in xy00 (with x and y not both zero) would be a possible solution to the problem.
However, we can see that 100, 1000, 10000, and 100000 are all possible solutions. So perhaps I should modify my previous claim! I now claim that any number of at least three digits that has the form ...wxyz00 (where not all of the digits w,x,y and z are zero) could be a solution. (If all of those 4 digits were zeros, the number would always end in the letter N, I believe.)
My question - given that the correct answer has 3 digits, is there only one correct answer among the numbers 100, 200, 300, ..., 900? If so, which is it, and why? I admit that I chose 100 arbitrarily as my proposed solution. Perhaps there is some further depth to the problem that I haven't yet seen.
ps I'll stop posting now! :)
a slight amendment... and a question
