(a) For the infinite geometric sequence (xn) whose first four terms are 4.0, -5.2, 6.76, -8.788, find the values of the
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(a) For the infinite geometric sequence (xn) whose first four terms are 4.0, -5.2, 6.76, -8.788, find the values of the
(a) For the infinite geometric sequence (xn) whose first four terms are 4.0, -5.2, 6.76, -8.788, find the values of the first term a and the common ratio r, and write down a recurrence system for this sequence. (b) Write down a closed form for this sequence. (c) Calculate the 11th term of the sequence to four decimal places. (d) Describe the long-term behaviour of the sequence. Justify your answer. [4] [2] [1] [3]
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