Question #00a44

1 Answer
Alan P.
Nov 1, 2017

There are several possibilities; my guess is that the intended next number is #40#

Explanation:

Given the series
#color(white)("XXX")5,5,10,15,25#
Each number (after the first 2) is the sum of the preceding tow numbers:
#color(white)("XXX")5+5=10#
#color(white)("XXX")5+10=15#
#color(white)("XXX")10+15=25#
and, if this is the intended pattern
#color(white)("XXX")15+25=40#

This a variant of the Fibonacci sequence.

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