How do you find the sum of the infinite geometric series 27+9+3+1+...?
The given infinite geometric series
has first term
Hence the sum of given infinite G.P.
#"the sum to infinity of a geometric series is"#
#•color(white)(x)S_oo =a/(1-r)to -1 < r <1#
#"where a is the first term and r the common ratio"#
#"here "a=27" and "r=9/27=3/9=1/3#
The answer is
If the common ratio of a geometric series is
The sum of the infinite geometric series
is given by .
Here the series is