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Evaluate the infinite geometric series:

                                                                                  \(\frac{3}{2}-\frac{2}{3}+\frac{8}{27}-\frac{32}{243}+\dots\)

 Jun 26, 2020
 #1
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sumfor(n, 1, 1000, (3/2)^(3 - 2*n))==converges to 2.7

 Jun 26, 2020
 #2
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The common ratio here is r = -(2/3)2, so the infinite sum is given by (3/2)/(1 - r) = 27/26 ≈ 1.038

 Jun 26, 2020

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