Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMiscellaneous/MixedMedium2 minPYQ_2009

MathematicsMediumsingle choice

If in the expansion of $(2^{x} + \frac{1}{4 ^{x}})^{n}, T_{3} = 7 T_{2}$ and sum of the binomial coefficients of second and third terms is 36 , then the value of $x$ is -

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Solution:

$^{n} C_{1} +^{n} C_{2} = 36 \Rightarrow n = 8 T_{3} = 7 T_{2} \Rightarrow (2^{x})^{3} = 1/2 3 x = - 1 \Rightarrow x = - \frac{1}{3}$

Stream:BITSATSubject:MathematicsTopic:Sequence & SeriesSubtopic:Miscellaneous/Mixed

⏱ 2mℹ️ Source: PYQ_2009

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