Determina numarul real x , pentru care are loc egalitatea :
x+2x+3x+.......+ 2017x = 2017


Răspuns :

x+2x+3x+...+ 2017x = 2017
x × (1 + 2 + 3 +...+2017) = 2017
x × 2017 × 2018 : 2 = 2017
x × 2017 × 1 009 = 2017
x = 2017 : 2017 : 1009
x = 1/1009