Question

PLEASE HELPP
1/4, 1/2, 1, 2 converging or diverging

Answer 1

diverging

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:

`A_n > A_(n-1)`

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.