A kind of operation is defined, a × B = 3 × A-2 × B, 5 × 4=

A kind of operation is defined, a × B = 3 × A-2 × B, 5 × 4=


Because of the title, 5 × 4 = 3 × 5-2 × 4 = 15-8 = 7



1 / 2 = 1-1 / 2, 1 / 6 = 1 / 2-1 / 3, 1 / 12 = 1 / 3-1 / 4
1/2*1/3+1*3*1/4+1/4*1/5+1/5*1/6+1/6*1/7+1/7*1/8


Original formula = 1 / 2-1 / 3 + 1 / 3-1 / 4 + +1 / 7-1 / 8 = 3 / 8. This is a column term



2 / 1 = 1-2 / 1, 6 / 1 = 2 / 1-3 / 1, 12 / 1 = 3 / 1-4 / 1


2/1+6/1+12/1+20/1+30/1
=1-1/2 +1/2-1/3 +1/3-1/4 + 1/4-1/5 +1/5-1/6
=1-1/6
=5/6