If E = 4 1 . 6 2 . 8 3 . 10 4 … . 62 30 . 64 31 = 8 x , then value of x is

E = 2 31 ( 32 ) ! 31 ! = 2 − 36 = ( 2 3 ) − 12 = 8 − 12 ∴ x = − 12

Mathematics - Sequence & Series Question with Solution | TestHub

MathematicsSequence & SeriesMiscellaneous/MixedMedium2 minQB

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If $E = \frac{1}{4} . \frac{2}{6} . \frac{3}{8} . \frac{4}{10} \dots . \frac{30}{62} . \frac{31}{64} = 8^{x}$ , then value of $x$ is

Answer:

Solution:

$E = \frac{31 !}{2 ^{31} ( 32 ) ^{!}} = 2^{- 36} = (2^{3})^{- 12} = 8^{- 12}$ $∴ x = - 12$

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

⏱ 2mℹ️ Source: QB

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