Root Position uses chord tones 1,3,5 and then repeats an octave higher and so on.

1st Inversion uses chord tones 3,5,1 and then repeats an octave higher and so on.

2nd Inversion uses chord tones 5,1,3 and then repeats an octave higher and so on.

Major Triads are root, major third and perfect fifth. For extra 'homework' play these in minor, diminished,
and augmented arpeggios.

Here are the chord formulas

Major-1,3,5
Minor-1,b3,5
Diminished-1,b3,b5
Augmented-1,3,#5

Once you get a feel for these try incoorperating them into chord progessions you know. Try doing some 'voice leading' style where your left (or right hand if you are a lefty) moves as little as possible. If you have a fake book and come into 7th chords and are privy to what triads fit into a chord, slow the tempo down a little and play sextuplets feel it in 3 instead like halftime to the general 4/4...
*Example Cmaj7 use Cmaj and E minor triads. Or maybe Cmaj#11 use a Cmaj and Bm....be creative.. Just remember to keep your metronome on 6/4 because you'll be turning all 4 beat measures into 6...

Here's a nice easy one to practice..it's the progression for Pachelbel's "Cannon in D"
Dmaj,Amaj,Bm,F#m,Gmaj,Dmaj,Gmaj,Amaj and repeat...
Practice that using only root position at first, then only 1st inversion, then only 2nd inversion. Then as many ways as possible if you'd like. Have fun!

PS-If you have an 8 string and feel the need to use all 8 strings..I usually keep my low F# tuned down a step to E so just start with the notes on the low E string down another octave and continue through.

The Arpeggios

Questions can be sent to drdmusic@yahoo.com