Martha is making fresh yogurt with a new sample containing 200,000 healthy, probiotic bacteria at the start (At t = 0). After putting the sample into her yogurt maker, she records the total number of probiotic bacteria f(t) in the sample as it grows exponentially each hour (t).

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