CAT 2002 — QA Question 39
Simple EquationsEasy
Passage / Data
Answer the following question based on the information given below.
In the diagram below, ∠ABC = 90° = ∠DCH = ∠DOE = ∠EHK = ∠FKL = ∠GLM = ∠LMN, AB = BC = 2CH = 2CD = EH = FK = 2HK = 4KL = 2LM = MN
If Xn = (-1)nXn-1 and X0 = x, then
Answer & solution
- 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).