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

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

Explanation:

The given series is

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

Common ratio:

The common difference for the given infinite series is given by

Thus, the common difference is

Sum of the infinite series:

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

  where

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

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

Therefore, Option A is the correct answer.

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d