The third term of the sequence $\left\{(-2)^{n}\right\}_{n=1}^{\infty}$ is $-8$

Step 1 ：The sequence is defined as \((-2)^n\) for \(n\) from 1 to infinity.

Step 2 ：To find the third term, we need to substitute \(n=3\) into the sequence formula.

Step 3 ：Substituting \(n=3\) into the sequence formula gives us \((-2)^3\) which equals -8.

Step 4 ：Final Answer: The third term of the sequence is \(\boxed{-8}\).