It seems that you have done it all correctly. What you need to do is connect the HDMI cable to the HDMI ports of the laptop and the TV. Open the Display settings and set up the screen options (if you need the screens duplicated, split, etc.) The last thing to do is to select the HDMI port on the TV. The signal should be there.
If all works fine, when using another TV, try another laptop with your TV. There may be an issue with the HDMI port of your TV.
Hope this helps