Adobe officially discontinued support and development of mobile Flash in 2012.
The Linux options you are being given will likely be for desktop Flash. .tar.gz is a compression format and .rpm is a package installer for Linux systems.
There are however instructions on the Adobe help pages on how you can install the now old and abandoned mobile Flash onto an Android device. You should of course keep in mind any possible security weaknesses from installing such old and unmaintained software... especially Flash.