JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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Application +4 | -1

Three successive terms of a G.P. will form the sides of a triangle if the common ratio

r

satisfies the inequality

View answer and explanation

Correct option: B

\frac{\sqrt{5}-1}{2} < r < \frac{\sqrt{5}+1}{2}

Option B (

\frac{\sqrt{5}-1}{2} < r < \frac{\sqrt{5}+1}{2}

) is correct because it satisfies the triangle inequality theorem for the sides of a triangle formed by three successive terms of a G.P.

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\frac{3}{4}