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AP EAMCET202421 May 2024Morning ShiftMathematicsBinomial TheoremActual

The sum of the rational term in the binomial expansion of ( 2 +3^ 1 / 5 )¹⁰ is

Options

  1. A41
  2. B39
  3. C32
  4. D30

Correct answer

A. 41

Step-by-step solution

Rational terms are T₁₁, T₁ aligned & T ₁₁= ¹⁰ C ₁₀ (3^ 1 / 5 )¹⁰( 2 )^0=9 & ~T ₁= ¹⁰ C ₀ (3^ 1 5 )^0 ( 2 )¹⁰=32 aligned Sum of rational terms =41

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