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CAT 2002 | Question: 90

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The $n$th element of a series is represented as

$X_n = (-1)^n x_{n-1}$

If $X_0 =x$ and $x>0$, then which of the following is always true?

  1. $X_n$ is positive if $n$ is even
  2. $X_n$ is positive if $n$ is odd
  3. $X_n$ is negative if $n$ is even
  4. None of these

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