General Quit last app

OK, I don't have Activator installed but just though of something that might make me install it. Is is possible to do the following?

Upon whatever gesture:
1. Go to springboard.
2. Go to first page of springboard.
3. Quit (no background) last app only (not all of them).
4. Lock device.

I was thinking... I don't know... Maybe shaking the phone and get all that triggered. Or by holding onto the status bar... Whatever.

Possible?

Thanks.

 

Yes, I know that. I was hoping for a tweak that would be compatible with Activator, so that you could add it to those multiple actions.

 

Please, read. That is exactly what I do not want. (See point 3, last part, in brackets).