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?
by
Daniel Liu