Let 1,a,b be a geometric sequence. Let a,b,36 be an arithmetic sequence. Find max value of a+b

Modified ARML 2011 T-1. Definitions of the common ratio and the common difference lead to quadratic equation in the variable a. Since b=a^2 follows from the definition of the common ratio, we find two distinct (a,b) ordered pair solutions. The sum of the maximum a+b = 99/4
Pinoy Math enthusiast bem moreno detailed the meanings of the two terms at Brainly.