The sum of the terms of a geometric sequence with common ratio lesser than 1 is calculated through the equation,
Sn = (a1) x (1 - r^n) / (1 - r) Substituting the known values, S5 = (6) x (1 - (1/3)^5) / (1 - 1/3) = 242/27 Thus, the sum of the first five terms is approximately equal to 8.96.
