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Math · Advanced Math
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1. (a) Write down x1, X2 and x3 for the sequences defined by X, 256 4 (b) On the basis of the evidence of the first four terms, give a recurrence relation for the sequence (5, 15/8,45/64, 135/512,... 2. Newtons recurrence formula for determining the root of a certain equation is Taking xo 3 as your initial approximation, obtain the root correct to four significant figures Furthermore, by settingx a, show that the fixed points of the iteration are given by the equation 3. (a) Show that these are the first are in arithmetic progression, and find the nth term of the sequence of which three terms (b) The first and sixth terms intermediate terms of a geometric sequence are 5 and 160 respectively. Determine the

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