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Iteration

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Question 8

Using xn+1=4xn2+3\displaystyle x_{n+1} = \frac{4}{x_n^2} + 3xn+1​=xn2​4​+3 with x0=3.2x_0 = 3.2x0​=3.2

a.

Find the values of x1x_1x1​, x2 x_2\,x2​ and x3x_3x3​.

[3]
b.

Explain the relationship between the values of x1x_1x1​, x2 x_2\,x2​ and x3 x_3\,x3​ and the equation x3−3x2−4=0x^3 - 3x^2 - 4 = 0x3−3x2−4=0

[2]

Iteration Questions

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