
Concept explainers
To write an infinite series with a sum that converges to 9.

Answer to Problem 64HP
Explanation of Solution
Given:
Sum of the infinite series is 9.
Concept Used:
Sum of an infinite geometric series
Calculation:
In order to write an infinite series with a sum that converges to 9.
First let the series is
Then according to the formula for sum of infinite geometric series where common ratio r is
There are many number of infinite series such that there sum converges to 9, to find one such series consider the first term
Thus, one example of an infinite series with sum converging to 9
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