Please solve the problem with steps

Infinite series equals 4/5

Step-by-step explanation:

Notice that the series can be written as a combination of two geometric series, that can be found independently:

The first one: is a geometric sequence of first term () "1" and common ratio (r) " ", so since the common ratio is smaller than one, we can find an answer for the infinite addition of its terms, given by:

The second one: is a geometric sequence of first term "1", and common ratio (r) " ". Again, since the common ratio is smaller than one, we can find its infinite sum:

now we simply combine the results making sure we do the indicated difference: Infinite total sum=

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