There are approximately 750 students enrolled in a new school, which is already at full capacity. The school's management board plans to add an addition to house 500 more students. If the
school population grows at 6.4% per year, in how many years will the new addition be full?

What is the sum of the geometric series in which a1 = 7, r = 3, and an = 1,701? hint: cap s sub n equals start fraction a sub one left parenthesis one minus r to the power of n end power right parenthesis over one minus r end fraction comma r ≠ 1, where a1 is the first term and r is the common ratio