Question

4. Does the following Infinite geometric series diverge or converge? Explain.
3 + 9 + 27 +81 +
It diverges; it does not have a sum.
It converges; It has a sum.
It diverges; it has a sum.
It converges; it does not have a sum.

Answer 1

Answer:

It diverges; it does not have a sum.

Step-by-step explanation:

3, 9, 27, 81, ..

ratio = r = 9/3 = 3

since |r| ≥ 1, it diverges and doesn't have a sum

Answer 2

Answer:

1st term:3

second term:9

common ratio :9/3=3

since it is greater than 1.

so it increases 3times in each term

So

It diverges; it does not have a sum.