Identify whether the series infinity sigma i=1 8(5/6)^i-1 is a convergent or divergent geometric series and find the sum if possible

The sum of infinite geometric series is:

40

Step-by-step explanation:

We have to find the sum of the geometric series which is given as:

which could also be written as:

As we know that any infinite series of the form:

is convergent if |x|<1

Here we have:

x=5/6<1

Hence,the infinite series is convergent.

Also we know that for infinite geometric series the sum is given as:

Here we have:

a=5/6 and common ration r=5/6

Hence, the sum of series is:

Hence, the sum of series is:

40

3

step-by-step explanation:

step-by-step explanation: