In a geometric progression consisting of positive terms, each term equals the sum of the next tw...

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In a geometric progression consisting of positive terms, each term equals the sum of the next two terms. Then the common ratio of this progression equals
\( P \)
(1) \( \frac{1}{2}(1-\sqrt{5}) \)
(2) \( \frac{1}{2} \sqrt{5} \)
(3) \( \frac{1}{2}(\sqrt{5}+1) \)
(4) \( \frac{1}{2}(\sqrt{5}-1) \)
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