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General
Easy

Question

The coefficient of x to the power of n in fraction numerator 1 over denominator left parenthesis 1 minus x right parenthesis left parenthesis 1 minus 2 x right parenthesis left parenthesis 1 minus 3 x right parenthesis end fraction is

  1. fraction numerator 3 to the power of n plus 2 end exponent minus 2 to the power of n plus 3 end exponent plus 1 over denominator 2 end fraction
  2. fraction numerator 3 to the power of n plus 2 end exponent plus 2 to the power of n plus 3 end exponent minus 1 over denominator 2 end fraction
  3. fraction numerator 3 to the power of n plus 2 end exponent minus 2 to the power of n plus 3 end exponent minus 1 over denominator 2 end fraction
  4. fraction numerator 3 to the power of n plus 2 end exponent plus 2 to the power of n plus 3 end exponent plus 1 over denominator 2 end fraction

The correct answer is: fraction numerator 3 to the power of n plus 2 end exponent minus 2 to the power of n plus 3 end exponent plus 1 over denominator 2 end fraction

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