Question

How do you find the sum of the infinite geometric series 6+5+(25/6)+....?

Answer 1

`Sum=36`

Explanation:

`a_2/a_1=5/6`
`a_3/a_2=(25/6)/5=5/6`
`implies r=5/6` and `a_1=6`

Sum of infinite geometric series is given by
`Sum=S=a_1/(1-r)=6/(1-5/6)=36/(6-5)=36/1=36`
`implies Sum=36`