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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 18, 2021
 #1
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The value of a + b is 3/2.

 Aug 18, 2021
 #2
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The answer is 1

 Aug 18, 2021

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