A series of chemicals was added to some $\mathrm{AgNO}_{3}(a q) . \mathrm{NaCl}(a q)$ was added first to the silver nitrate solution with the end result shown in test tube $1, \mathrm{NH}_{3}(a q)$ was then added with the end result shown in test tube 2, and $\mathrm{HNO}_{3}(a q)$ was added last with the end result shown in test tube 3 . Explain the results shown in each test tube. Include a balanced equation for the reaction(s) taking place.