Look at the pic below for question : )

OPTION B

Step-by-step explanation:

Geometric series :

where is the first term of the series and

is common difference.

A geometric series is convergent if |r| < 1.

It is divergent otherwise.

Since the first term of the series is a and the second term is ar, the ration of second term and first term, = r.

OPTION A:

.

Here, and

r > 1. So, this series is divergent.

OPTION B:

a = 1; ar = .

.

Since, r < 1, we can say that the series is convergent.

OPTION C:

We can easily see that |r| =4. So, it is not convergent.

OPTION D:

Again |r| = 2. So, the series should be divergent.

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step-by-step explanation: