# A 100 Streak Goal

**Discrete Mathematics**Level 2

On the first day, he does \(1\) problem. On the second day, he does \(2\) problems. On the third day, he does \(3\) problems. This pattern continues on until the \(10\)th day. On the \(10\) th day, he does \(1+0=1\) problem. On the \(11\)th day, he does \(1+1=2\) problems. In general, on the \(\overline{ab}\)th day, he does \(a+b\) problems. Finally, on the \(100\)th day, he does \(1+0+0=1\) problem, completing his streak.

In total, how many problems did he do?