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

Answer

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Answer

Final Answer: The third term of the sequence is $\boxed{-8}$.

Steps

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 $\boxed{-8}$.