
Concept explainers
To find the sum of infinite series(if it exists)

Answer to Problem 8CYU
The sum doesn’t exist.
Explanation of Solution
Given:
Concept Used:
1. Sum of an infinite geometric series
2.
Sum of an infinite geometric series
Calculation:
In order to find the sum of infinite series
First find its first term and common ratio.
Note from the given geometric series note that first term is
Since, here
Thus,
Since, the common ratio of the series is greater than 1.
Thus, the given sum of is divergent.
Thus, the sum doesn’t exist.
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