((picture) convergent and divergent series

B

Step-by-step explanation:

A series is said to be convergent if |r| < 1. Where r is the common ratio of the series.

If |r| ≥ 1 then the geometric series diverges.

25/3+125/9+625+ ...

r = 125/9 ÷25/3 = 5/3

625/27 ÷ 125/9 = 5/3

In the series, r is greater than 1. So the series is divergent.

question: how many people can she serve?

answer: she can serve 16.66666667 people. so she can only give 16 people a complete serving.

question: does she have enough ice cream for her guests?

answer: no. explanation: she only has enough for 16 people to have a full serving. however, she can give a 17th person a partial serving.

16

step-by-step explanation: