JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy

1 of 1

Analyzing +4 | -1

The coefficient of

x^{n-2}

in the polynomial

(x-1)(x-2)(x-3) \ldots(x-n)

, is

View answer and explanation

Correct option: B

\frac{n\left(n^2-1\right)(3 n+2)}{24}

Option B (

\frac{{n(n^2-1)(3n+2)}}{{24}}

) is correct because it represents the coefficient of

x^{n-2}

in the polynomial, calculated by summing the product of the roots taken two at a time.

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{A} \cup({B} \cap {C})

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y=x-2

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\frac{3}{4}