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\(A geometric series $b_1+b_2+b_3+\cdots+b_{10}$ has a sum of $180$. Assuming that the common ratio of that series is $\dfrac{7}{4}$, find the sum of the series $b_2+b_4+b_6+b_8+b_{10}.$\)\(A geometric series $b_1+b_2+b_3+\cdots+b_{10}$ has a sum of $180$. Assuming that the common ratio of that series is $\dfrac{7}{4}$, find the sum of the series $b_2+b_4+b_6+b_8+b_{10}.$\)

 Feb 23, 2019
 #1
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An infinite series with a common ratio > 1  diverges and does not have a sum.....are you sure you have the correct ratio in your question?

 Feb 23, 2019
 #2
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See the answer here:  https://web2.0calc.com/questions/help_21404#r4

 Feb 23, 2019

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