Establish the cauchy mean value theorem given that f(x)=5x+x2 and g(x)=x^2-1 on the interval [1,2]

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