Question

resolva a equacao 10x+20x+...=1080x=6450

Answer 1

Boa tarde Edimilson

10x + 20x + ... + 1080x = 6450

x*(10 + 20 + ... + 1080) = 6450 

PA

a1 = 10
a2 = 20

r = a2 - a1 = 20 - 10 = 10

termo geral
an = a1 + r*(n - 1)

1080 = 10 + 10*(n - 1)
10n + 10 - 10 = 1080
10n = 1080
n = 108

soma
Sn = (a1 + an)*n/2
Sn = (10 + 1080)*108/2 = 58860

58860x = 6450
x = 6450/58860 = 215/1962