CAT 2002 | Question: 90

Question

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?

• A. $X_n$ is positive if $n$ is even
• B. $X_n$ is positive if $n$ is odd
• C. $X_n$ is negative if $n$ is even
• D. None of these