Answer: Does not exist
Step-by-step explanation:
The given geometric series : [tex]60 + 84 + 117.6 + 164.64 +…[/tex]
Here the first term : [tex]a=60[/tex]
The second term : [tex]ar=84[/tex]
Now, the common ratio in this series will be :_
[tex]r=\dfrac{ar}{a}=\dfrac{84}{60}=1.4>1[/tex]
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.
