Question

Determine o valor de x na equação X+ X/2 + X/4 +...=6?

Answer 1

Ola Fernandez

x*(1 + 1/2 + 1/4 + ...) = 6

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

u1 = 1
u2 = 1/2

q = u2/u1 = 1/2

soma infinita

S = u1/(1 - q) 
S = 1/(1 - 1/2) = 1/(1/2) = 2

2x = 6

x = 6/2 = 3