Final answer:
The sum of the series is -11.2.
Step-by-step explanation:
The sum of the series from n equals 1 to infinity of -7 times three eighths to the power of n can be calculated using the formula for the sum of a geometric series. The formula is:
Sum = first term / (1 - common ratio)
In this case, the first term is -7 and the common ratio is three eighths, which is equivalent to 3/8. Plugging these values into the formula, we get:
Sum = -7 / (1 - 3/8) = -7 / (5/8) = -7 * 8/5 = -56/5 = -11.2