I was just thinking about the following series: 1-2+3-4+5... I'm not familiar with any other series like this one(other than the alternating harmonic), and I was curious as to whether or not it would be convergent, and if reordering it to -1+2-3+4-5.... would change its convergence. If its divergent, which it seems it would be, is it divergent to negative or positive infinity? This is probably a basic question, but I'm unable to figure it out right now. Any takers?