Mathematics - Binomial Theorem Question with Solution | TestHub

MathematicsBinomial TheoremGeneralMedium2 minPYQ_2015

MathematicsMediumsingle choice

The sum of coefficients of integral powers of $x$ in the binomial expansion of ${(1 - 2 \sqrt{x})}^{50}$ is

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Answer:

Solution:

Integral Power Term is same as odd term in exapansion

Odd Term $= \frac{{(1 - 2 \sqrt{x})}^{50} + {(1 + 2 \sqrt{x})}^{50}}{2}$

Sum of coefficients $= \frac{{(1 - 2)}^{50} + {(1 + 2)}^{50}}{2} = \frac{1 + 3^{50}}{2}$

Stream:JEESubject:MathematicsTopic:Binomial TheoremSubtopic:General

⏱ 2mℹ️ Source: PYQ_2015

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