Puzzle 10 Solution

The string of numbers up to the nth term is divisible by n.

36 is divisible by 2.
360 is divisible by 3.
3608 is divisible by 4.
36085 is divisible by 5.
so on and so forth.

So the 12th member of the sequence must form a number divisible by 12 and the only possible 12th member of the sequence is 6.

Answer: 6