Найди значение разностей: 1/2! -1/3! ,1/3! -1/4! ,1/4! -1/5! ,1/5! -1/6! . буду !

1/(1*2) -1/(1*2*3)=1/2-1/6=3/6-1/6=2/6=1/3
1/(1*2*3)-1/(1*2*3*4)= 1/6-1/24=4/24-1/24=3/24=1/8
1/(1*2*3*4)-1/(1*2*3*4*5)= 1/24-1/120=5/120-1/120=4/120=1/30
1/(1*2*3*4*5)-1/(1*2*3*4*5*6)=1/120-1/720=6/720-1/720=5/720=1/144