Daniel wants to get a 100-day streak on Brilliant.org. He plans to do so in the following manner:
On the first day, he does problem. On the second day, he does problems. On the third day, he does problems. This pattern continues on until the th day. On the th day, he does problem. On the th day, he does problems. In general, on the th day, he does problems. Finally, on the th day, he does problem, completing his streak.
In total, how many problems did he do?