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Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesG.P.Medium2 minQB

MathematicsMediummultiple choice

In a G.P. the product of its first four terms is 4, and its second term is the reciprocal of its fourth. The infinite sum can be

Options:(select one or more)

Answer:

A, B, C, D

Solution:

Writing the terms a,ar, $a r^{2}, a r^{3}$ gives $a^{4} r^{6} = 4$ and $a^{2} r^{4} = 1$ . Thus $r = \pm 1/2, a = \pm 4$ , and a/( $1 - r$ ) gives all four listed values.

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

⏱ 2mℹ️ Source: QB

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