- Download PDF
1 Answer | Add Yours
The sum of the infinite series `1/3 + 4/9 + 16/27 +...` has to be determined.
Notice the terms of the series. `(4/9)/(1/3) = (16/27)/(4/9) = 4/3`
This is a geometric series with the first term being `1/3` and the common ratio `4/3` .
As the common ratio is `4/3` which is greater than 1, it is not possible to determine the sum of an infinite number of terms of the series.
The required sum cannot be determined.
We’ve answered 323,800 questions. We can answer yours, too.Ask a question