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Standard Artemis Build For Beginner Builders
Purchase Order
Ninja Tabi
Devourer's Gauntlet
Odysseus' Bow
Golden Bow
Deathbringer
Rage
Introduction
This build is mainly for beginners at Smite, but still can be powerful for average players who are good with Artemis. Item purchases are as seen below, though it doesn't matter which last 3 items you buy first. Actives can vary.
This build can be used in Arena, Joust, or Conquest.
This isn't really a guide for how to be awesome at 
Artemis.
Items and Reasonings
Ninja Tabi - It is pretty self explanatory to have boots or a starter item at the beginning of a build. Not all decent build need these items though but for a good boost for attack speed and movement for which Artemis needs, this item will serve a good purpose.
Devourer's Gauntlet - This Item is a great second item. Usually the second item is reserved for quick changes and defense. Devourer's Gauntlet is unique for it doesn't give you protection, but it can still be used as a defensive item. It's stacking ability allows increasing life steal along with Physical Power. This cause for higher sustain and longer lasting battles.
Odysseus' Bow - This item is quite unique. Along with the increase of 40% attack speed, it allows a chance of a chained lightning bounce. This cause damage that can take out minion waves with ease and add a little extra damage to the gods.
Golden Bow, Deathbringer, Rage - These three items are just ADC Bruisers. They just cause a combo of constant crits. They are really unnecessary and can be replaced, but for beginners this will intrige their taste or blood.
Actives and Consumables
Healing Potions are great early game but become quickly unneeded.
Combat Blink and 
Greater Sprint are great actives and you can have either or but I would not recommend both as your actives.
The second active can be all up to preference. You could go for 
Greater Purification just to be the unstoppable wrecking ball or something that could help support the team.
Pros/Cons
Usually with Artemis, you want to level up abilities a little carefully, but with this you can just wail basic attacks. This shouldn't take much skill to play with this build.
One major downfall with this build is you are defensively weak and squishy. You will also have a hard time with Warrior classes (such as 
Odin or 
Osiris, especially if they out class you (basically are more experienced).
The plus side is Guardians are easy to take down or weaken and Assassins will be as if a rat in the sewer.
Team Work
This build is really more of a Lone Wolf adc build, but can be really helpful if you can work in calls to warn team mates. You can also do really good body blocks and pretty much act as an assassin and go across the map if need be.
Concerning the build, Ninja Tabi, Dev gauntlet, Odysseus bow, golden bow, Deathbringer, and rage:
Ninja Tabi is generally accepted: power and attack speed are the two core stats for an ADC.dev gauntlet is also accepted. Power and life steal are very important for a hunters sustain. Deathbringer is also fine; crit is the major damage source for an ADC. Golden bow is unnecessary even for just clear, and it only gives 10% crit chance. Odysseus Bow is situational and krett explained how it could work with the following build: warrior Tabi, Dev gauntlet, Odysseus bow, executioner, Deathbringer, and rage. Otherwise, the acceptable build i for Artemis is ninja Tabi, Dev gauntlet, executioner, Deathbringer, malice, and rage. Combined with her passive, basically every basic attack is a crit, and those shots crit often and crit hard. For actives, you generally want Achilles spear and beads.
You don't have to agree with me on the build, but down vote until the missing sections are added.