The discussion revolves around an infinite geometric series represented by the expression 1 + (2x/3) + (2x/3)^2 + (2x/3)^3 + ..., with a focus on determining the values of x for which the series converges.
The discussion is active, with participants providing hints and references to external resources. There is an acknowledgment of the need to find the interval of x for convergence, indicating a productive direction in the conversation.
Some participants express uncertainty about the definition of convergence and the specific conditions required for the series to converge, highlighting a potential gap in understanding that is being addressed through discussion.
rcmango said:well, I'm going through this type of math, now there is a formula for geometric series, it is like this: (first term) / (1-r)
you always want to plug the first term in the top of the equation, in your case it looks like 1.