Math
posted by Jon .
Find the sum of the infinite geometric series 36+24+16+...if it exists.
r=24/36=2/3
S=a1/1r
(36)/1(2/3)
36/.33 repeating
S=108

ok
Respond to this Question
Similar Questions

sum geometric series
what is the sum of geometric infinite series 3/2+ 9/16+ 27/128+ 81/1024=.... i know the formula is S=a/(1r) my teacher, he usually transforms into a formula of the sum series and finds out a and r.but i don't how to do that. the pattern … 
algebra
1)Find a1 in a geometric series for which Sn=300,r=3,and n=4 a.15 b.15/2 c.15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(1/4)n1 on the right side a.25 b.80/3 c.16 … 
algebra(check)
1)Find a1 in a geometric series for which Sn=300,r=3,and n=4 a.15 b.15/2 c.15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(1/4)n1 on the right side a.25 b.80/3 c.16 … 
algebra
1)Find a1 in a geometric series for which Sn=300,r=3,and n=4 a.15 b.15/2 c.15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(1/4)n1 on the right side a.25 b.80/3 c.16 … 
algebra
1)Find a1 in a geometric series for which Sn=300,r=3,and n=4 a.15 b.15/2 c.15 d.1/15 answer=a 2)Find the sum of the infinite geometric series n=1 at the bottom of the sigma notation 20(1/4)n1 on the right side a.25 b.80/3 c.16 … 
math
1)Find a1 in a geometric series for which Sn=300,r=3,and n=4 A)15 B)15/2 C)15 D)1/15 I chose A 2)Find the sum of the infinite geometric series. Sigma sign with infinity symbol above and n=1 below. To the right 20(1/4)n1 A)25 B)80/3 … 
math(need 2nd opinion)
1)Find a1 in a geometric series for which Sn=300,r=3,and n=4 A)15 B)15/2 C)15 D)1/15 I chose A 2)Find the sum of the infinite geometric series. Sigma sign with infinity symbol above and n=1 below. To the right 20(1/4)n1 A)25 B)80/3 … 
Math
Express the repeating decimal 0.513 (the 13 is repeating) as a fraction in lowest terms using the infinite geometric series method. 
PreCalculus
Q.Determine the sum of each infinite geometric series. t_1= 8 r = 2^1/2  A.This is a divergent series because the absolute value of r is greater than 1.  … 
Math
Does the following infinite geometric series diverge or converge?