Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesG.P.Medium2 minQB

MathematicsMediumsingle choice

In a G.P., the first term is 1 . If $4 T_{2} + 5 T_{3}$ is minimum, then its common ratio is

Answer:

Solution:

G.P.: $1, r, r^{2}, \dots E = 4 T_{2} + 5 T_{3} = 5 r^{2} + 4 r = 5 (r + \frac{2}{5})^{2} - \frac{4}{5}$ . $E$ is minimum at $r = - \frac{2}{5}$ .

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

⏱ 2mℹ️ Source: QB

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