JEE Mathematics · Easy

Binomial Theorem: Middle term MCQ

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

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Middle termEasyQuestion 280004

Question

For even n, the middle term in (x + y)ⁿ is the:
  1. A
    (n/2 + 1)th term
    Correct
  2. B
    (n/2)th term
  3. C
    nth term
  4. D
    (n+1)th term

Correct answer

(n/2 + 1)th term

Explanation

For even n, there is one middle term: T_{n/2 + 1} (the (n/2+1)th term). For odd n, there are two middle terms.