Iphone 5s flashing between screens?

I got an iphone 5s today. It activated pretty fast then just turned itself off. Then when i tried to turn it back on, it would go from the turning on screen with the apple logo straight to the turning off screen with the spinning circle. Then it would go to a werid blue scree then back to the start up screen, Help

Take it to the Apple Store and see what they say.

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