Hi everyone, I didn't know where to ask this, so I thought I might just ask here:

The sum:

1/2 + (1/3+2/3) + (1/4+2/4+3/4) + (1/5+2/5+3/5+4/5) + ... + (1/100+...+99/100) is:

(A) 105 (B) 245 (C) 2475 (D) 3215 (E) 2635

Could someone tell me the fastest way of being able to simplify it, and I'm not allowed to use a calculator, thanks.