Linear regulator in series?.

Hello everyone.
I want to make a very low-noise linear power supply, 5 volts and up to 1 amp.
I've been thinking about integrated circuits like the LM78xx or LM317, but I'd rather put two or more in series to combine their ripple rejection and the low noise of both.
For example, an LM7812 followed by an LM7805.
Can the 70 dB ripple rejection of each be combined?
Just curious.
Regards.
 
Something like that
 

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