Question

How do I determine whether a infinite geometric series converges or diverges? For example: 4+2+1+1/2

Answer 1

If the values in the series are becoming smaller as they progress, then it is convergent, but if they are increasing, it is divergent

Answer 2

so this one converges. How would I find the sum for this problem?

Answer 3

For geometric series that go in the order \[a+ar+ar^2+ar^3+.....\] then the limit or sum could be find by using the equation \[a/1-r\]

Answer 4

thx!!

Answer 5

You're welcome.