Respuesta :
The series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Which geometric series converges is determined from the options below
a. 1/6+1/6+1/6+1/6 b. 1/6+2/6+4/6+8/6 c. 6+12+24+48 d. 6+2+6/9+6/27.
What is geometric progression?
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Options A B and C have been omitted because the series given in the corresponding option has the increasing order. Option D has a decreasing order with the common ratio between the preceeding values of the series being 1/3. Thus option D is the correct option.
Thus, the series 6+2+6/9+6/27 is a required converging geometric series. Option D is correct.
Learn more about geometric progression here: https://brainly.com/question/4853032
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