Let \(a_1, a_2, a_3\) ... be a sequence of positive real numbers such that \( a_n=11a_{n-1}-n\), for all \(n>1\). Find the smallest possible value of \(a_1\)

The smallest possible value of a_1 is 1/10.

Could you please explain the method? I entered the answer into the website I am using, but it says the answer is incorrect.