Find the sum of the infinite geometric series. -8 - 4 - 2 - 1 + Write your answer as an integer or a fraction in simplest form. ______

Calculate Sum Formula: Now, calculate the sum (S) of the infinite geometric series using the formula: S = a_1/(1 - r) Here, a_1 is the first term and r is the common ratio. We have: a_1 = -8 r = 1/2Substitute Values: Substitute the values of a_1 and r into the formula to find the sum of the series: S = (-8) / (1 - (1/2)) S = (-8) / (1/2) S = -8 * (2/1) S = -16

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Find the sum of the infinite geometric series. $\newline$ $-8 - 4 - 2 - 1 +$ $\newline$ Write your answer as an integer or a fraction in simplest form. $\newline$ ______

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Algebra 2

Find the value of an infinite geometric series

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Q. Find the sum of the infinite geometric series.

\newline

-8 - 4 - 2 - 1 +

\newline

Write your answer as an integer or a fraction in simplest form.

\newline

______

Calculate Sum Formula: Now, calculate the sum $S$ of the infinite geometric series using the formula: $\newline$ $S = \frac{a_1}{1 - r}$ $\newline$ Here, $a_1$ is the first term and $r$ is the common ratio. $\newline$ We have: $\newline$ $a_1 = -8$ $\newline$ $r = \frac{1}{2}$
Substitute Values: Substitute the values of $a_1$ and $r$ into the formula to find the sum of the series: $\newline$ $S = (-8) / (1 - (1/2))$ $\newline$ $S = (-8) / (1/2)$ $\newline$ $S = -8 \times (2/1)$ $\newline$ $S = -16$