Question

Find the sum of the following infinite geometric series, if it exists.
3 + 9 + 27 + 81 +…
35,897
44,845
does not exist
40,178

can someone please explain this in a more simple way?

Answer 1

i think it is does not exist.

Answer 2

In this case, the sum would be infinity (if you let it go until infinity), since the series does not converge

Answer 3

Unless you want to take the sum up to a certain term, such as the 10th or something

Answer 4

Every term increases by a factor of 3^(n).

I the series was something like 1+(1/2)+(1/3)+(1/4) ... it would converge to a certain number which isn't infinity

Answer 5

so it doesn't exist?

Answer 6

a / 1 -r = 3 / -2= does not exist

Answer 7

Since infinity is not a number, I would say it doesn't exist.

Answer 8

ooo so i was right.:)

Answer 9

oh okay, I kind of understand it more thanks!

Answer 10

However, saying "it doesn't exist" is weird. It would be better if the answer as simply infinity

Answer 11

um..ok