The sum of the terms of the infinite geometric series 1, 0.78, 0.78², 0.78³, ...is closest to A)infinity. B)1.78. C)0.56. D)4.55. E)128.21.

Question

Quizplus · Accepted Answer

The sum of an infinite geometric series is given by the formula S = a / (1 - r), where a is the first term and r is the common ratio. Here, a = 1 and r = 0.78. Thus, S = 1 / (1 - 0.78) = 1 / 0.22 = 4.5454... which is closest to 4.55.

The Sum of the Terms of the Infinite Geometric Series