Final answer:
One of the core activities connected to Service Strategy in the ITIL lifecycle is Service Portfolio Management, which along with Financial Management and Demand Management, helps in aligning IT services with business needs.
Step-by-step explanation:
The Information Technology Infrastructure Library (ITIL) is a set of practices for IT service management (ITSM) that focuses on aligning IT services with the needs of the business. Within the ITIL framework, the Service Strategy is an essential part of the lifecycle that includes five core activities. One of these core activities connected to Service Strategy is Service Portfolio Management, which is crucial for managing the service portfolio and ensuring the right mix of services to meet organizational objectives.
Another two activities within the Service Strategy phase include Financial Management for IT services, which ensures the strategic use of the IT organization's financial resources, and Demand Management, which helps to understand and predict customer demand for services. By integrating these activities, organizations can better design, implement, and manage IT services that are aligned with their overall business strategy.