I think I copied this down right. It's a problem our professor gave us at the end of class, and his handwriting is a little sketchy. Also, I think I'm suppose to test to see if it converges.

problem:

(1/3)+(1*4)/ (3*5)+(1*4*7)/ (3*5*7)+..+[1*4*7*..*(3n-2)] /[3*5*7*..*(2n+1)]

Can I get a hint? Just a shot in the dark here, but it looks recursive.. kinda like the fibonacci sequence (the future term depends on the previous one); but this is a series. So.. not too sure what to do.

[edit] Sorry about the typo in the title! Totally meant "convergence".