14 The pattern is double, minus 3, double, minus 3, etc.
Another point of view:
Any number that you like. Given a sequence of any six numbers, it is possible to find a polynomial of order 5 that will go generate all of them.
For example:
Un = (52x5 - 935x4 + 6270x3 - 19345x2 + 27038x - 12600)/120 will next go to 1.
Un = (61x5 - 1070x4 + 7035x3 - 21370x2 + 29504x - 13680)/120 will next go to 10.
Un = (76x5 - 1295x4 + 8310x3 - 24745x2 + 33614x - 15480)/120 will next go to 25.
Take your pick, the suitably selected coefficients will do the rest.
11 comes next.
31
16.
34
3
The number that comes next in the series 1 2 2 5 3 10 is 7. You get this number by subtracting the number 3 from the number 10.
The rule of this pattern is -2 + 6 +4 so the next number would be 16.
10
10
10
12
its +2, +2, -1... so the next is 10