Determine the sum of the infinite geometric series 11 + 11/3 + 11/9 + 11/27 + .....

Question

determine the sum of the infinite geometric series Precalculus course.

Answer 1

The infinite geometric series is 11 + 11 / 3  + 11 / 9  + 11 / 27+..... .........

First term ( a ) =  11

Common ratio ( r ) = 2nd term / 1st term

Common ratio ( r ) =  (11/3) / 11= 1/3

The infinite geometric series =

Common ratio ( r ) = 1/3 = 0. 33 < 1

The sum of the infinite geometric series is 33 / 2.