Question

X+(x+1)+(x+2)+...+(x+100)=5151
Aflati x

Answer 1

[tex]F.Gauss=\ \textgreater \ \frac{100*(100+1)}{2} =5050 \\ 101x+5050=5151 \\ 101x=101=\ \textgreater \ x=1[/tex]

Answer 2

Este o progresie aritmetica, cu primul element x, ultimiul x+100 , 101 termeni si ratia 1
S=((x+(x+100))/2)*101, cf formulei ((a1+an)/2)*n
Avem ((2x+100)2)*101=5151
(x+50)*101=5151, x+50=51, x=1