It sounds like there may be an issue with the ignition system of your RUUD Silhouette II UGLH-15EARJR furnace. Based on your description, it appears that the furnace is not always coming on correctly. The blower comes on, but after 30 seconds, you hear a click, and the far-right flame comes on, but it goes out after 5 seconds. Eventually, throughout the day, all the flames come on, but they don't come on the first time.
This problem could be caused by several issues, including a malfunctioning ignition system, a problem with the flame sensor, a dirty or clogged burner, or a problem with the gas valve.
To troubleshoot this issue, I would recommend checking the following:
- Check the flame sensor and make sure it's clean and properly aligned with the flame
- Check the burner and make sure it's clean and free of debris
- Check the gas valve, it could be stuck closed or malfunctioning
- Check the thermocouple, it could be faulty
- Check the control module, it could be malfunctioning
It's important to note that gas appliances are complex systems that require specialized knowledge and skills to troubleshoot and fix. If you are not comfortable working on these issues, it's best to call for professional help, as it may require specialized knowledge and skills to troubleshoot and fix the problem.