The terms of a sequence with first term x 1 = 1 are defined by the iterative

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The terms of a sequence with first term x1 = 1 are defined by the iterative formula:

The terms converge to the value α.
a. Use this formula to find the value of α correct to 2 decimal places. Give the value of each term you calculate to 4 decimal places.

b. The value α is the root of an equation of the form ax3 + bx2 + cx + d = 0, where a, b, c and d are integers. Find this equation.

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