JEE Mathematics · Medium

Binomial Theorem: Finding a term MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Finding a termMediumQuestion 280005

Question

The 4th term in (2x − 3)⁶ is:
  1. A
    −4320x³
    Correct
  2. B
    4320x³
  3. C
    −2160x³
  4. D
    2160x³

Correct answer

−4320x³

Explanation

T₄ = T_{3+1} = ⁶C₃ (2x)³ (−3)³ = 20 × 8x³ × (−27) = −4320x³.