1×2+2×3+3×4+.+199×200

问题描述:

1×2+2×3+3×4+.+199×200

an=n(n+1)=n^2+n
Sn=n(n+1)(2n+1)/6+n(n+1)/2=n(n+1)(n+2)/3
S199=199x200x201/3=2666600