Question

Find the sum of the infinite geometric series 9+3+1+1/3+...

Answer 1

Sum of Infinite Geometric series is:

`(a)/(1-r)`

Where :

a= first term = 9

r= common ratio = 3/9 = 1/3 =1/3 /1 = 1/3

Replace:

`(9)/(1-(1)/(3))\text{ =}(9)/((2)/(3))=(27)/(2)=13.5`