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Question:


(a) A sequence {an} is defined recursively by the equation an = ½ (an-1 + an-2) for n ≥ 3, where a1 and a2 can be any real numbers. Experiment with various values of a1 and a2 and use your calculator to guess the limit of the sequence.



(a) A sequence {an} is defined recursively by -1






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(b) Find lim,-» a, in terms of a¡ and az by expressing an in terms of az - a¡ and summing a series.

1.99

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