Identify whether the series is a convergent or divergent geometric series and find the sum, if possible. A) This is a convergent geometric series. The sum is 48. B) This is a divergent geometric series. The sum is 48. C) This is a convergent geometric series. The sum cannot be found. D) This is a divergent geometric series. The sum cannot be found.

Question

Mathematics

Cynthia Knapp

1 September, 23:43

Identify whether the series is a convergent or divergent geometric series and find the sum, if possible. A) This is a convergent geometric series. The sum is 48. B) This is a divergent geometric series. The sum is 48. C) This is a convergent geometric series. The sum cannot be found. D) This is a divergent geometric series. The sum cannot be found.

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Destinee Chambers · Answer 1

A divergent series is a type of series in which the ratio is too large and the summation is held from one to infinity. Hence, the sum could not be found out. A convergent series, on the other hand, has a definite answer because one could be the ratio is small and the lower and upper limits are defined not equal to infinity either positive or negative.