Hey guys long time no see

. I don't really know what the technique is called hence why I haven't been able to google it but here is a tab which shows it.
||------------------|-------------------|
||o-----------------|-------------------|
||------------------|-------------------|
||------------------|-------------------|
||o-7-------7---7-9-|-10-----------10-9-|
||----0-0-0---0-----|----0-0-0-8-0------|
What I'm wondering is if your supposed to alternate pick it? Because I can't play it fast enough down picking it even though I heard someone say it sounds better if you do.