Determine the first five iterates of f (x) = 1.5x (1-x) for x0=0.8

Question

Mathematics

Linda

17 October, 11:53

Determine the first five iterates of f (x) = 1.5x (1-x) for x0=0.8

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Answers (1)

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Trooper · Answer 1

f (x) = 1.5 x (1 - x)

f (0.8) = 1.5 (0.8) (1 - 0.8) = 0.24

f (0.24) = 1.5 (0.24) (1 - 0.24) ~ = 0.274

f (0.274) = 1.5 (0.274) (1 - 0.274) ~ = 0.298

f (0.298) = 1.5 (0.298) (1 - 0.298) ~ = 0.314

f (0.314) = 1.5 (0.314) (1 - 0.314) ~ = 0.323

So the answer is D : 0.24, 0.274, 0.298, 0.314, 0.323