If the sum of the coefficients of x⁷ and x¹⁴ in the expansion of (1/(x³) - x⁴)ⁿ, x ≠ 0, is zero, then the value of n is _ _ _ _.

Binomial Theorem and Its Simple Applications: JEE Main 2026 Mathematics question

JEE Main 2026 · 5 Apr, Morning shift · Q23

JEE Main 20265 Apr, Morning shiftMathematicsMediumBinomial Theorem and Its Simple Applications131× since 2002

If the sum of the coefficients of

x^7

and

x^{14}

in the expansion of

\left(\frac{1}{x^3} - x^4\right)^n

x \neq 0

, is zero, then the value of

n

is ________ .

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