Question

calcular x
(x+1)+(x+2)+(x+3)+....(x+17)=17 elevado a la 3

Answer 1

Hola!

Respuesta:

280

Explicación paso a paso:

$(x + 1) + (x + 2) + (x + 3) + ....... + (x + 17) = {17}^{3} \\ x + 1 + x + 2 + x + 3 + .... + x + 17 = {17}^{3} \\ 17x + (1 + 2 + 3 + .... + 16 + 17) = {17}^{3} \\ 17x + ( \frac{17(18)}{2} ) = {17}^{3} \\ 17x + 17(9) = {17}^{3} \\ 17(x + 9) = 17( {17}^{2} ) \\ x + 9 = {17}^{2} \\ x = 289 - 9 \\ x = 280$