1*2+2*3+3*4+.+79*80
=(1*2*(3-0) +2*3*(4-1)+3*4*(5-2)+.+79*80*(81-78))÷3
=(1*2*3+(2*3*4-1*2*3)+(3*4*5-2*3*4)+.+(79*80*81-78*79*80))÷3
=79*80*81÷3
=170640
1*2+2*3+3*4+.+79*80
=(1*2*(3-0) +2*3*(4-1)+3*4*(5-2)+.+79*80*(81-78))÷3
=(1*2*3+(2*3*4-1*2*3)+(3*4*5-2*3*4)+.+(79*80*81-78*79*80))÷3
=79*80*81÷3
=170640