I'm going to assume you meant to write fractions (because if are all non-negative integers, the series would clearly diverge), so that
and so on.
a. If the pattern continues as above, we would have the general term
b. Note that we can write as
The series diverges by comparison to the divergent series
Answer:
Mary is filling 36 cups per minute, which is faster than Jorge.
Step-by-step explanation:
Lets get Jorge's time :
As the rate is constant, we can find the slope to know the number of cups he is filling per minute.
Slope is found using:
=
=
From the table lets get Mary's time:
=
Another data:
=
Therefore, we can see that Mary is filling 36 cups in a minute and Jorge is filling 14 cups.
Hence, the correct answer is : Mary is filling 36 cups per minute, which is faster than Jorge.