Please help me check if the education is right in USA

community college (after this , students can continue education by transferring to a four-year university )

study at high school -----> university
study at adult school (take GED course)----> pass GED test -----> community college -----> university (Is it correct ?)

study at high school (but fail in applying for universities ) -----> take GED course in adult school -------> pass GED -------> university (Is it correct? )

Please help me to check from 1 to 4 . Thank you so much!!!!