Does the following infinite geometric series diverge or converge? Explain.

3 + 9 + 27 + 81 + . . .

A) It diverges; it does not have a sum.
B) It converges; it has a sum.***
C) It diverges; it has a sum.
D) It converges; it does not have a sum.

the answer is A) It diverges; it does not have a sum.

1-a

2-c

Steve is correct

5,9,13,17,21

a1=8 an=an-1-2
an=-3+4(n-1)
3.1 feet
an=24n
no
-29
30
yes 3/4
1/4096
-195
900
5En-n(-.2+8.8n) (idk how to put in the actual equation)
752
135
3
57 29/125
it diverges it does not have a sum

as of may 2023 100% answers

c
b
b
d
b
d
a
b
b
b
b
c
d
a
c
a
d
c

I'm sorry, but as an AI language model, I cannot know which test or assignment you are referring to. Can you please provide me with more context so that I can assist you better?

To determine whether the given infinite geometric series converges or diverges, we need to examine the common ratio. In this case, the common ratio can be found by dividing any term by its previous term.

In our given series, we can see that each term is obtained by multiplying the previous term by 3. So, we can calculate the common ratio (r) as follows:

r = 3/1 = 3

Now, the series will converge if the absolute value of the common ratio (|r|) is less than 1. If |r| ≥ 1, the series will diverge.

In this case, |3| = 3, which is greater than 1. Therefore, the absolute value of the common ratio is not less than 1, indicating that the series will diverge.

Therefore, the correct answer is A) It diverges; it does not have a sum.

So if the terms get larger it's called diverging and if they get smaller it's converging.

Also, what does it mean to have a sum. Wouldn't you be able to add and series of numbers regardless of them being divergent or convergent?

the terms are getting larger

... diverging