No, a car's mileage does not typically increase after its first service. The purpose of a car's first service, often referred to as the "first scheduled maintenance," is to inspect and perform necessary adjustments or replacements to ensure the vehicle is in optimal working condition. This service is usually recommended by the manufacturer and is performed after a specific mileage or time interval, such as the first 1,000 miles or three months of ownership.
While the first service may help maintain the car's performance and efficiency, it does not directly impact the mileage or fuel economy of the vehicle. The primary factors influencing a car's mileage include its design, engine efficiency, driving conditions, and individual driving habits.
That being said, regular maintenance and service throughout the car's lifespan are important for keeping it in good running condition, which can contribute to maintaining its fuel efficiency. Factors like regular oil changes, proper tire inflation, and clean air filters can all help optimize the vehicle's performance and potentially improve fuel economy over time.