More posts on “next page”

Hi, I have been using wordpress for over 1 1/2 years now. I just have a quick question about posts per page.

I know how to put a different amount of posts on the home, archives, search, etc. On the home, I have 5 posts. When you reach the bottom of the page and click “next page” it uses the home template and therefore has 5 posts as well.

Is it possible to have 5 posts on the actual home page and when you click “next page”, there are say, 10? (/page/2/)

Thanks