Lanthanoids (or lanthanides) are typically metals, and their compounds with sulfur form sulfides. The most common lanthanide sulfides have the general formula \( \text{La}_2\text{S}_3 \), where lanthanum is in the +3 oxidation state.
1. Step 1: Oxidation state of lanthanum.
Lanthanum typically forms a +3 oxidation state, and sulfur typically forms a -2 oxidation state.
2. Step 2: Balance the charges.
For a neutral compound, two \( \text{La}^{3+} \) ions are needed to balance three \( \text{S}^{2-} \) ions, giving the formula \( \text{La}_2\text{S}_3 \).
Thus, the correct formula for lanthanum sulfide is \( \text{La}_2\text{S}_3 \).