The heavy armor side of the Smithing tree however has the benefit of a higher damage Ebony Bows compared light armor's Glass Bow. Sneak attacks with bows increase the damage by a multiplier of three times the damage for your first shot fired while Sneak is active. If you want to include stealth in your archer build use light armor as it makes less noise for Sneak.
When you reach eighty skill points with perks you will do twice the damage with your bow. Tip: For a good starting weapon an Elven Bow is available at the beginning of the game by stealing it from Aela's room in the Companions Hall. Also, b e aware that leveling unnecessary skills will increase the levels of the enemies that you will be fighting as well. The Breton race is recommended for all builds on legendary difficulty due to the importance of magicka resist later in the game.
With a Glass Bow or Ebony Bow the damage gets quite high especially when using high quality arrows. Archers have the benefit of attacking from a distance which keeps damage on your Conjuration minion and/or follower. Archers are very similar to mages in that they're ranged damage dealers.