If you applied for Google Adsense for a week now, just wait for their reply. You can follow up your application on Google though. On my first submission on Adsense, it take a long time to received their reply just to found out I am denied. This usually happens when your website is not ready. This include if your site do not have the minimum requirement on number of post/article, you changed your lay out or you had some changes on some part of your site when they are checking your website, your website is down when they check your link are just some of the factors why it took me so long so received their reply and denied for that matter. Then I revamped my site and add post/articles, after a month or two I applied again. Just after a week I was in Adsense circle!
Only two things can happen - either they approve your application or deny it. So there is nothing to worry about.