Answer:
Common ratio r = 0.5
Step-by-step explanation:
Given the geometric series 0.27 + ...
This is infinite geometric series with [tex]b_1=0.27,[/tex] unknown common rate r and sum S of 54% that is 0.54 as decimal.
Use formula
[tex]S=\dfrac{b_1}{1-r}[/tex]
Hence,
[tex]0.54=\dfrac{0.27}{1-r}\\ \\1-r=\dfrac{0.27}{0.54}=\dfrac{27}{54}=\dfrac{1}{2}=0.5\\ \\r=1-0.5=0.5[/tex]
