Watch the Arpeggiation: Level 1 online guitar lesson by Chris Buono from Guitar Gym: Arpeggiation
Next up is arpeggiating the same open E and A chords again from bottom to top, but this time you'll come against your first non-adjacent (string skip) within your arpeggiation pattern (first two bars only). Take it slow, have patience, and be sure to "surround" the strings correctly. You'll also notice the rhythm affords you less time from one picking pattern to the next as well as one chord to the next.
As you play through these workouts be sure you're fretting the chords so that every note rings out clean and clear, make sure your picking technique allows for the same.