Let the sum of the coefficients of the first three terms in the expansion of (x - 3/(x²))ⁿ,x ≠ 0.~n N, be 376. Then the coefficient of x⁴ is _ _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Evening shift · Q24

JEE Main 202324 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let the sum of the coefficients of the first three terms in the expansion of

{\left( {x - {3 \over {{x^2}}}} \right)^n},x \ne 0.~n \in \mathbb{N}

, be 376. Then the coefficient of

x^4

is __________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2023 · 24 Jan, Evening shift · Q24

JEE Main 202324 Jan, Evening shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

Let the sum of the coefficients of the first three terms in the expansion of

{\left( {x - {3 \over {{x^2}}}} \right)^n},x \ne 0.~n \in \mathbb{N}

, be 376. Then the coefficient of

x^4

is __________.

Your answerType your answer. Integers and decimals are accepted.