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Consider two infinite geometric series. The first has leading term \(a\) common ratio \(b\) and sum \(S.\) The second has a leading term \(b\) common ratio \(a\) and sum\(1/S.\)  Find the value of \(a+b.\)

 Aug 15, 2021
 #1
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a + b = 1/2.

 Aug 15, 2021

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