How do you find the sum of the infinite geometric series 27+9+3+1+...?
3 Answers
Jul 11, 2018
Explanation:
The given infinite geometric series
has first term
Hence the sum of given infinite G.P.
Jul 11, 2018
Explanation:
#"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#
#S_oo=27/(1-1/3)=27/(2/3)=81/2#
Jul 11, 2018
The answer is
Explanation:
If the common ratio of a geometric series is
Then,
The sum of the infinite geometric series
is given by .
Here the series is
and