JEE Main 2007 — Sequences and Series Question with Solution
JEE Main 2007
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
Choose an option
Show full solutionCorrect option: D
Correct answer
D
Step-by-step explanation
Given
$\begin{aligned}
& \Rightarrow 1=r+r^2 \\
& \therefore r=\frac{\sqrt{5}-1}{2} .
\end{aligned}$
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This is a previous-year question from JEE Main 2007, covering the Sequences and Series chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.