CAT 2018 Functions Question (Hard)

Question

If f x 2 f x f x 1 for all positive integers x, and f 11 91, f 15 617, then f 10 equals. TITA

Accepted Answer

Correct Answer 54 Given f x 2 f x f x 1 f 11 91 f 15 617 Let f 10 a, f 12 b Then f 13 91 b f 14 b f 13 b 91 b 91 2b f 15 f 13 f 14 91 b 91 2b 182 3b 617 182 3b 3b 435 b 145 a f 10 f 12 - f 11 145 - 91 54 Final Answer 54

CAT 2018

Quantitative

Functions

Hard

If f(x + 2) = f(x) + f(x + 1) for all positive integers x, and f(11) = 91, f(15) = 617, then f(10) equals. [TITA]

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