What are the different oxidation states exhibited by the lanthanoids?

Explanation

To determine the different oxidation states exhibited by the lanthanoids, we can analyze their electronic configurations and the typical behavior of their electrons during oxidation.

### Step-by-Step Solution:

1. **Understanding Lanthanoids**:
- Lanthanoids are a series of 15 elements from Lanthanum (La, atomic number 57) to Lutetium (Lu, atomic number 71).
- They primarily involve the filling of the 4f orbital.

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