Got a legendary Deviant Cult Machine Gun while patrolling Earth just to finish the bounty where you have to kill 2 enemies with one fusion rifle shot. Literally at the beginning of the game.
Also 2 Strange Coins away from buying Exotic armor from the weekend vendor (I believe it's arm gear).
The weekly strikes are different in that they don't really search for randoms for you, so if you don't have a Fireteam ready, you're out of luck.
Well, I was alone, and the weekly strike was insanely difficult even being a level above. Arc damage (blue element) was tripled, and most enemies used arc weapons, including the two bosses, so you were always a hit or two away from death. You also ABSOLUTELY need to go with an Arc special weapon and arc heavy weapon.
My recommendation is to go with a decked out Scout Rifle with long range (go for headshots), and stay at the very limits of each zone and snipe out enemies. You dont want any other weapon as they are too inaccurate at long range and will run out of ammo quickly.
The captains and wizards with arc shield will go down easily with the arc sniper rifle.
In the first zone with 3 waves, stay near the 'Alien' cave, as the enemies won't follow you.
In the tank zone, stay near the very beginning, so far that nothing goes after you except the tank spitting out blue laser which are easily dodged and shielded by good cover. Snipe the legs, and when it collapses, snipe the exposed orange core, which will take like 5000 damage per hit, if you have a good arc sniper (remember, arc damage is tripled). It gets harder if you blow the front two legs first, as hitting the rear ones from that far is very hard. Eventually, the tanm will go down.
For the huge purple eye ball, stay right at the beginning gate that opens to that boss. Take out the front mob, then snipe the eye ball for huge damage. He is very easy to dodge, and all you have to worry about is the mobs that DO come in. Just run away back away from that room and kill the enemies that come in. Then go back to sniping the eye ball. The sniper rifle kills this boss extremely quickly.
Its worth doing the weekly strike as you get 3 strange coins and lots of vanguard rep and marks. Also, I didn't have any arc weapons so I randomly looted the first section before going into the strike 3 wave room, and got almost nothing but arc weapons from loot, like it knew I needed them. I suggest farming the chest for arc weapons if you are missing them.