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# Geometric Series Question

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Hi! Can somone help me with this question?

Evaluate the infinite geometric series:

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

Jul 9, 2020

#1
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The common ration r = -4/9.  The infinite sum is given by a/(1-r), where a is the first term.

Can you take it from here?

Jul 9, 2020
#2
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Oh I see. Thanks!

Guest Jul 9, 2020
#3
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so much love on this forum, love it!!

Jul 9, 2020