Răspuns:
1/23+2/23+3/23+....+22/23 = 11
Explicație pas cu pas:
1/23+2/23+3/23+....+22/23 = ?
1/23+2/23+3/23+....+22/23 = (1+2+3+....+22)/23 =
FOLOSIM FORMULA LUI GAUSS =>
= [(1+22)·22:2]/23 = 23·11/23 = 11
1/23+2/23+...+22/23=
(1+2+...+22)/23 (Acelasi numitor)
1+2+...+22 = (22*23)/2 = 11*23 (Suma lui Gauss)
(11*23)/23 = 11
