Write the given series in summation notation. 
Definitions:
National President
The leader or chief executive of a nationwide organization, union, or corporation, responsible for guiding its overall direction and policies.
Union Densities
A reformulated definition: The measure of how widespread union membership is across different industries or geographical areas, expressed as a ratio or percentage.
Southwest and Northeastern States
Geographic regions in the United States distinguished by distinct cultural, historical, economic, and physical characteristics influencing their development.
National Unions
Major labor organizations representing workers from various industries within a country, often responsible for negotiating collective bargaining agreements.
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