Answer:
diverging
Step-by-step explanation:
A regular way to know if a series is converging or diverging, is to check is as the number of terms increase, the value of such terms also increase.
So, if for example, we have:
[tex]A_n > A_{n-1}[/tex]
We know that the series will not converge, because eventually the terms will be very large, and the series will diverge.
In this case we have the series:
1/4, 1/2, 1, 2
So each term is two times the previous one, thus, the n-th term will be larger than the n-th minus one term, so we can conclude that this series diverges.
