a. A geometric progression has first term a, common ratio r and sum to infinity S. A

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a. A geometric progression has first term a, common ratio r and sum to infinity S. A second geometric progression has first term 3a, common ratio 2r and sum to infinity 4S. Find the value of r.

b. An arithmetic progression has first term – 24. The nth term is – 13.8 and the (2n)th term is -3. Find the value of n.

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