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Previous Year Paper

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CAT-2005-Previous Years Paper

Question
27 out of 30
 

Let g(x) be a function such that g(x+1)+g(x − 1) = g(x) for every real x. Then for what value of p is the relation g(x + p) = g(x) necessarily true for every real x?



A 3
B 3
C 2
D 6

Ans. D

g(x + 1) + g(x − 1) = g(x)

g(x + 2) + g(x) = g(x + 1)

Adding these two equations we get

g(x + 2) + g(x − 1) = 0

g(x + 3) + g(x) = 0

g(x + 4) + g(x + 1) = 0

g(x + 5) + g(x + 2) = 0

g(x + 6) + g(x + 3) = 0

g(x + 6) – g(x) = 0

CAT-2005-Previous Years Paper Flashcard List

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