As an example, play these notes in this order, up then back down.
(seventh fret -A string to start)the first notes are E,F#,G (change to D string9th fret)B,(change to G string9th fret)E,(change to B string7th fret)F#,G, A- Than back down.* note - all three note groupings such as, E,F#,G(on the A string) and the F#,G,and A(on the b string) are to be played on that same string. That is a classic example of an arpegio. Start slow and build speed to really ripe it up and down. If you noticed all the notes are tones of an E chord. Break down other chords to make them arpegios too. Remember, an arpegio is nothing more than a chord played like a scale.
Peace! :D
*Les Paul FREAK*