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JEE Main2003MathematicsBinomial TheoremActual

If x is positive, the first negative term in the expansion of (1+x)^ 27 / 5 is

Options

  1. A6th term
  2. B7th term
  3. C5th term
  4. D8th term

Correct answer

D. 8th term

Step-by-step solution

T_ r+1 = n(n-1)(n-2) (n-r+1) r ! (x)^r For first negative term, n-r+1 32 5 r =7 . Therefore, first negative term is T ₈ .

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