Let me be as clear as I can be: the iOS multitasking bar does not contain “a list of all running apps”. It contains “a list of recently used apps”. The user never has to manage background tasks on iOS.
Except in a few cases, which I’ll explain, the apps that appear in the multitasking bar are not currently running. When you press the home button, iOS will tell the app to quit. In almost all cases, it quits, it stops using CPU time (and hence battery) and the memory it was using is eventually recovered if required.
The sad reality is that even Apple’s own Genius Bar employees seem to have a wrong perception on the iOS multitasking. Give it a read to see how this actually works.