Different Front Page Design to Second Page

Hey

I’m having a little trouble and I can’t seem to find an answer that works, i’ve searched every where.

What I want to do is have the front page at https://www.example.com to display a certain page design. Then when a user clicks on older posts and ends up on https://www.example.com/page/2 it displays a different page design. Both pages have a loop, so the front page shows the first 8 posts and then the second, third etc pages show the rest of the posts.

I’ve tried using the static page in the settings but that doesn’t do what I want. I have a feeling that it uses the conditional tags but I don’t know how to use them fully.

I hope I am clear enough in what I want to do. I feel there is a simple option to this. Thanks for your help.