Answer:
Ca2+ and Fe2+
Explanation:
When a solution is added to the original one, a single replacement reaction will occur. So, the cation will be substituted for the cation presented in the solution. If the new compound is soluble, it will dissociate, if not, it will precipitate.
First, sodium chloride is added, so, the sodium cation will be substituted. The possibilities of new formations are AgCl, CaCl2, and FeCl2. Both CaCl2 and FeCl2 are solubles, but AgCl is insoluble, thus, if it was present, it would form a precipitate, so Ag+ is not present.
When sodium sulfate is added, a precipitate is formed. The sodium can be replaced, forming CaSO4 or FeSO4. CaSO4 is insoluble, so it forms a precipitate, which may be the solid formed. FeSO4 is soluble.
Then, sodium carbonate is added and can form FeCO3, which is insoluble and can be the solid formed. So, possible ions are Ca2+ and Fe2+.