Question

Find the sum of the following infinite geometric series, if it exists. 3 + 9 + 27 + 54 +…

Answer 1

Look at it, it just keeps getting bigger and bigger... :D
Does it LOOK like it will have a sum?

Answer 2

not with the anwsers it gives me

Answer 3

Does not exist

35,897

40,178

44,845

Answer 4

Okay... new approach... what's the common ratio of this series?
(hint: the common ratio is what you get if you divide the second term by the first, and the third term by the second, etc)

Answer 5

3

Answer 6

Yes, very good :)
Infinite geometric series WILL NOT HAVE A SUM if the common ratio is not less than 1. (in absolute value of course)

Answer 7

In this case, 3 > 1
so the sum does not exist :)

Answer 8

oh ok thanks :)

Answer 9

No problem ;)