Question

Poate sa ma ajute cineva? Dau coroana! (metoda lui gaus)​

Answer 1

Răspuns:

Explicație pas cu pas:

S = 1/1*2 + 1/2*3 + 1/3*4 + ...+ 1/2020*2021

1/1*2 = 1/1 - 1/2

1/2*3 = 1/2 - 1/3

1/3*4 = 1/3 - 1/4

..................

1/2020*2021 = 1/2020 - 1/2021

___________________________

S = 1/1 - 1/2 + 1/2 - 1/3 + 1/3 - 1/4 +....+ 1/2020 - 1/2021

S = 1/1 - 1/2021 = 2021/2021 - 1/2021 = 2020/2021