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

A0.245, 0.25, 0.255, 0.26, 0.265
B0.243, 0.246, 0.249, 0.252
C1.24, 2.24, 3.24, 4.24, 5.24
D0.24, 0.274, 0.298, 0.314, 0.323

Verified Answer :

syed514

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

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