Question

calcule x sendo: 5x + x/2 + x/4 + x/8 +...= 60

Answer 1

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Ola Gabi

1/2 + 1/4 + 1/8 + ...

PG

u1 = 1/2
u2 = 1/4

q = u2/u1 = (1/4)/(1/2) = (1/4)*(2/1) = 1/2

soma infinita
Sn = u1/(1 - q)
Sn = (1/2)/(1 - 1/2) = (1/2)/(1/2) = 1

5x + x = 60
6x = 60

x = 60/6 = 10

pronto

Answer 2

x/2 + x/4 + .... = 60 -5x

(x/2)/(1 -1/2) = 60 -5x

2x/2 = 60 -5x

x +5x = 60

x = 60/6

x = 10