👤

S= 1/6×7+1/7×8+1/8×9+....+1/74×75.
/ = linie de fractie​


Răspuns :

Răspuns:

Explicație pas cu pas:

1/6×7 = 1/6 - 1/7

1/7×8 = 1/7 - 1/8

1/8×9 = 1/8 - 1/9

...........

1/74×75 = 1/74 - 1/75

___________

S = 1/6 - 1/7 + 1/7 - 1/8 + 1/8 - 1/9 +... + 1/74 - 1/75 = 1/6 - 1/75 = 25/150 - 2/150

= 23/150