Digital ACT Math Practice Question #1212
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$S = a / (1 - r) = 18 / (1 - (-2/3)) = 18 / (5/3) = 54/5$.
The first term is $a_1 = 18$. The common ratio is $r = \frac{-12}{18} = -\frac{2}{3}$. Since $|r| = |-\frac{2}{3}| = \frac{2}{3} < 1$, the infinite geometric series converges. The sum formula is: $$S_\infty = \frac{a_1}{1 - r} = \frac{18}{1...
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