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 5a, common ratio 3r and sum to infinity 10S.
Find the value of r.
b. An arithmetic progression has first term −4. The nth term is 8 and the (2n)th term is 20.8.
Find the value of n.

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