Determining whether a sum converges or diverges..... 1. The problem statement, all variables and given/known data Ʃ((3n!)/(4^(n))) 2. Relevant equations I figured I'd do the ratio test with this one. 3. The attempt at a solution So that would be (3(n+1)!)/(4^(n+1)) * (4^(n))/(3n!), I then cross cancel until I'm left with this... ((n+1)!)/(4n!) Then you can break up the (n+1)!, to cancel a (n!) in the numerator and denominator, so you're left with the limit as n→∞ of (n+1)/(4), but this doesn't look right to me. Where did I screw up?