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vampirchik [111]
3 years ago
15

Find the sum of the following infinite geometric series, if it exists. 2 + 6 + 18 + 54 +… Does not exist 23,567 25,982 29,034

Mathematics
1 answer:
Sladkaya [172]3 years ago
8 0

Option A: The sum for the infinite geometric series does not exist

Explanation:

The given series is 2+6+18+54+.......

We need to determine the sum for the infinite geometric series.

<u>Common ratio:</u>

The common difference for the given infinite series is given by

r=\frac{6}{2}=3

Thus, the common difference is r=3

<u>Sum of the infinite series:</u>

The sum of the infinite series can be determined using the formula,

S_{\infty}=\frac{a}{1-r}   where 0

Since, the value of r is 3 and the value of r does not lie in the limit 0

Hence, the sum for the given infinite geometric series does not exist.

Therefore, Option A is the correct answer.

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