Question
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(A) $\frac{1}{2}(1-\sqrt{5})$(B) $\frac{1}{2} \sqrt{5}$(C) $\sqrt{5}$(D) $\frac{1}{2}(\sqrt{5}-1)$
Step 1
Step 1: Let's denote the three consecutive terms in the geometric progression as $a$, $ar$, and $ar^2$, where $a$ is the first term and $r$ is the common ratio. Show more…
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