Write the sum of the given geometric series as a rational number. 0.8 + 0.08 + 0.008 + 0.0008 + ...
The rational number is:.
(Simplify your answer. Type an integer or a fraction.)

Step-by-step explanation:

Given

Series: 0.8 + 0.08 + 0.008 + 0.0008 + ...

Required

Determine a rational number to represent the series

To do this, we simply get the sum to infinity of the series;

This is done as follows;

Where a represent the first term

r represent the common ratio

Substitute these values in the above formula

Multiply the numerator and denominator by 10

Hence;

The number is

this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

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i believe the answer is letter c) 8

step-by-step explanation: