1*2*3+2*4*6+.+100*200*300

问题描述:

1*2*3+2*4*6+.+100*200*300

1*2*3+2*4*6+......+100*200*300
=1*2*3 + 2*(1 * 2* 3) + ... + 100 *(1 * 2* 3)
=(1 * 2* 3) * (1+2+3+...+100)
=6 * 5050
=300300

1*2*3+2*4*6+.+100*200*300
=6*(1³+2³+3³+.+100³)
=6*(1+2+3+...+100)²
=6*5050²
=153015000