The form I have used on a Lydian scale is:
e|------------------------------3-5-7-|
b|------------------------3-5-6-------|
g|------------------2-4-5-------------|
d|------------2-3-5-------------------|
a|------2-3-5-------------------------|
e|1-3-5-------------------------------|

Arpeggios are 1,3,5, and 7th note in a scale so it looks like this:

e|----------------5-|
b|------------3-6---|
g|----------4-------|
d|------2-5---------|
a|----3-------------|
e|1-5---------------|