Question

Find the sum of the infinite geometric series with a first term of 5 and r = 5/6.

Answer 1

Find the sum of the infinite geometric series with a first term of 5 and r = 5/6.

In this problem we have

a1=5

r=5/6

so

the formula to calculate the sum of the infinite geometric series is equal to

`S=(a1)/(1-r)`

substitute given values

`S=(5)/(1-(5)/(6))`
`S=(5)/((1)/(6))`
`S=30`

answer is 30