What is the next number in the sequence 625, 25, ____?

1 Answer
Alan P.
Sep 2, 2015

Probably the next number is intended to be #5#, but many solutions are possible.

Explanation:

Since #sqrt(625) =25#
and #sqrt(25) = 5#
#5# is a possible answer for the "next number"

However #625 - 600 = 25#
and #25 - 600 = -575#
so #-575# is also a possibility.

Actually, if you are willing to work with more complex transformations, any value could be justified as the "next number".

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