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Annette [7]
3 years ago
5

Find the sum of the following infinite geometric series, if it exists.

Mathematics
2 answers:
zvonat [6]3 years ago
7 0

Answer:  Does not exist

Step-by-step explanation:

The given geometric series : 60 + 84 + 117.6 + 164.64 +…

Here the first term : a=60

The second term : ar=84

Now, the common ratio in this series will be :_

r=\dfrac{ar}{a}=\dfrac{84}{60}=1.4>1

We know that if the common ratio in infinite geometric series does not lies between (-1,1) , then the series is diverging. And the sum of the infinite geometric series will not exists.

Hence, the sum of the given infinite geometric series does not exist.

Rasek [7]3 years ago
4 0
q=\dfrac{84}{60}=1.4 > 1\ \text{ therefore you answer: Does not exist}
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