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General
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Question

If A = open square brackets table row 3 cell negative 4 end cell row 1 cell negative 1 end cell end table close square brackets, then An (where n element of N) is

  1. open square brackets table row cell 3 n end cell cell negative 4 n end cell row n cell negative n end cell end table close square brackets
  2. open square brackets table row cell n plus 2 end cell cell 5 minus n end cell row n cell negative n end cell end table close square brackets
  3. open square brackets table row cell 3 to the power of n end exponent end cell cell left parenthesis negative 4 right parenthesis to the power of n end exponent end cell row 1 cell left parenthesis negative 1 right parenthesis to the power of n end exponent end cell end table close square brackets
  4. None of these

The correct answer is: None of these


    We have

    A2 = open square brackets table row 3 cell negative 4 end cell row 1 cell negative 1 end cell end table close square bracketsopen square brackets table row 3 cell negative 4 end cell row 1 cell negative 1 end cell end table close square brackets= open square brackets table row 5 cell negative 8 end cell row 2 cell negative 3 end cell end table close square brackets

    For n = 2, none of (A) , (B) , (C) match with the actual answer.

    Thus, answer is (D).

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