Arrange the following resonating structures in order of increasing stability
`underset((I))(CH_(2)=overset(+)(N)=overset(-)(N))" "underset((II))(H_(2)overset(+)(C)=N=overset(-)(N))" "underset((III))(H_(2)overset(-)(C)-overset(+)(N) equiv N)" "underset((IV))(H_(2) overset(-)(C)-N=overset(+)(N))`

Explanation

To arrange the given resonating structures in order of increasing stability, we will analyze each structure based on several factors that affect resonance stability. These factors include the number of covalent bonds, the presence and placement of charges, and the electronegativity of atoms involved.

### Step-by-Step Solution:

1. **Identify the Structures**:
- Structure (I): \( CH_2 = N^+ = N^- \)
- Structure (II): \( H_2C^+ = N = N^- \)
- Structure (III): \( H_2C^- - N^+ \equiv N \)
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