1*3+2*4+3*5+4*6+``````19*21+20*22=

问题描述:

1*3+2*4+3*5+4*6+``````19*21+20*22=

1*3+2*4+3*5+4*6+``````19*21+20*22
=4-1 +9-1 +16-1 +...+400-1 +441-1
=1²+2²+3²+...+21² -21
=21*(21+1)*(2*21+1)/6 -21
=3311-21
=3290