Apps won't appear on my iPhone 5s?

I just got a brand new iPhone 5s just a couple days ago. Everything has been fine but now whenever I try to download an app it won't appear on my home screen. On iTunes it says it's installed but I can't find it. Also the calculator that's program in my phone has disappeared also. Anyone know how to solve this issue?

Plug into your computer and restore it.

Not good

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