Use the improved​ Euler's method with tolerance to approximate the solution to this initial value problem at tequals0.8. For a tolerance of epsilonequals0.002​, use a stopping procedure based on absolute error.

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