3 years ago

If 1/2x +1/2(1/2x + 1/2(1/2x +1/2(1/2x + ... = y, then x=?

1 answer:

4 0

$y=\dfrac{1}{2}x+\dfrac{1}{2}\left(\dfrac{1}{2}x+\dfrac{1}{2}\left(\dfrac{1}{2}x+\ldots \Longleftrightarrow y=\dfrac{1}{2}x+\dfrac{1}{2}y$

$y=\dfrac{1}{2}x+\dfrac{1}{2}y\\\\
2y=x+y\\\\
\boxed{x=y}$

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