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CAT 2002 — QA Question 39

Simple EquationsEasy

If Xn = (-1)nXn-1 and X0 = x, then

Answer & solution

Correct answer: None of these

  • A

    Xn is positive for n = even

  • B

    Xn is negative for n = even

  • C

    Xn is positive for n = odd

  • None of these

Solution

It is given to us that X0 = x

∴ X1 = −x

X2 = −x

X3 = x

X4 = x

There is no trend for odd or even Xn.

∴ No concrete statement can be made.

Hence, option (d).
 

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CAT 2002 QA Q39: If X n = (-1) n X n-1 and X 0 = x, then — Solution | TheCATExam