the sum of an infinite geometric series with first term a and common ratio r < 1 is given by.
$\displaystyle \frac{a}{1-r}$
The sum of a given infinite geometric series is $\displaystyle 200$, and the common ratio is$\displaystyle 0.15.$
What is the second term of this series?
by pluging the info given i got for an a value of $\displaystyle a=170$ which is not the value of the second term but that is where i don't understand how you find out what the second term is.
if
$\displaystyle \frac{a}{1-0.15} = 200$
then
$\displaystyle a=170$
the ans for the second term is $\displaystyle 25.5$ how did they get this. I looked at examples from several books but still ?
thnx ahead for help
