Progression (Sequence and Series)Hard
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
Options
A.
(1 - √5)
(1 - √5)B.√5
√5C.√5
D.(√5 - 1)
(√5 - 1)Solution
Given arn-1 = arn + arn + 1
⇒ 1 = r + r2
∴ r =
⇒ 1 = r + r2
∴ r =
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