Execution Sequence of .bash_* files

Execution sequence for interactive login shell
execute /etc/profile

IF ~/.bash_profile exists THEN
    execute ~/.bash_profile
ELSE
    IF ~/.bash_login exist THEN
        execute ~/.bash_login
    ELSE
        IF ~/.profile exist THEN
            execute ~/.profile
        END IF
    END IF
END IF

When you logout of the interactive shell, following is the sequence of
execution:

IF ~/.bash_logout exists THEN
    execute ~/.bash_logout
END IF

Please note that /etc/bashrc is executed by ~/.bashrc as shown below:

# cat ~/.bashrc
   if [ -f /etc/bashrc ]; then
   . /etc/bashrc
   Fi

Execution sequence for interactive non-login shell
While launching a non-login interactive shell, following is the sequence of
execution:

IF ~/.bashrc exists THEN
        execute ~/.bashrc
   END IF