Final answer:
A nurse should maintain members through recognition and encouragement to support community health progression, fostering participation and leveraging democratic leadership. This method aligns with critical reflection and an asset-based approach, encouraging community involvement.
Step-by-step explanation:
A nurse working with a group focused on improving the health of the community should utilize interventions that are participatory and community-driven. While there are multiple strategies a nurse could employ, the most effective according to community health principles would be maintaining members through recognition and encouragement. This approach aligns with adult education methods that promote critical reflection and involve all categories of people who influence the issue being addressed. It is also consistent with democratic leadership styles that encourage group participation and build consensus. Such an approach resonates with the asset-based model, where community actors' positive roles are reinforced, rather than making decisions for the group or focusing solely on issues of national importance.