Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesG.P.Medium2 minQB

MathematicsMediummultiple choice

Successive G.P. terms $b_{1}, b_{2}, b_{3}$ have $b_{1} > 0$ and common ratio r . When is $b_{3} > 4 b_{2} - 3 b_{1}$ ?

Answer:

A, C

Solution:

After division by $b_{1} > 0, r^{2} - 4 r + 3 = (r - 1) (r - 3) > 0$ precisely when $r < 1$ or $r > 3$ .

Stream:JEESubject:MathematicsTopic:Sequence & SeriesSubtopic:G.P.

⏱ 2mℹ️ Source: QB

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