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Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremGeneralMedium2 minPYQ_2003

MathematicsMediumsingle choice

If $x$ is positive, the first negative term in the expansion of $(1 + x)^{27/5}$ is

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Answer:

Solution:

$T_{r + 1} = \frac{n ( n - 1 ) ( n - 2 ) \dots\dots\dots ( n - r + 1 )}{r !} (x)^{r}$ For first negative term, $n - r + 1 < 0$ or $r > \frac{32}{5}$ $∴ r = 7$ . Therefore, first negative term is $T_{8}$ .

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:General

⏱ 2mℹ️ Source: PYQ_2003

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