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

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Q. Find the sum of the infinite geometric series.\newline−8−4−2−1+-8 - 4 - 2 - 1 + \newlineWrite your answer as an integer or a fraction in simplest form.\newline______
  1. Calculate Sum Formula: Now, calculate the sum SS of the infinite geometric series using the formula:\newlineS=a11−rS = \frac{a_1}{1 - r}\newlineHere, a1a_1 is the first term and rr is the common ratio.\newlineWe have:\newlinea1=−8a_1 = -8\newliner=12r = \frac{1}{2}
  2. Substitute Values: Substitute the values of a1a_1 and rr into the formula to find the sum of the series:\newlineS=(−8)/(1−(1/2))S = (-8) / (1 - (1/2))\newlineS=(−8)/(1/2)S = (-8) / (1/2)\newlineS=−8×(2/1)S = -8 \times (2/1)\newlineS=−16S = -16

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