Find the sum of the first 14 terms of the geometric sequence 1/9 ,1/3 , 1,.... (Round your answer to two decimal places.)

Answer 1

The first term is a = 1/9.

The ratio of two consecutive terms is r = 3

The sum of the first 14 terms will be S₁₄ = a (r¹⁴-1) / (r - 1). Plug in the values and evaluate.