The common ratio is 3 which is greater than 1 so the sum of the provided series is not possible.
What is a sequence?
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have an infinite geometric series:
1/81 + 1/27 + 1/9 + ....
The common ratio r = (1/27)/(1/81) = 81/27 = 3
Here the value of r = 3
Which is r > 1
As we know to find the sum of the infinite series the common ratio must lie between -1 to 1 or:
-1 < r < 1
As we have r > 1 so the sum is not possible.
Thus, the common ratio is 3 which is greater than 1 so the sum of the provided series is not possible.
Learn more about the sequence here:
brainly.com/question/21961097
#SPJ1
