Your iPad is new thus you can call apple care to properly address the issue. What made me notice is when the other person suggested to remove the battery. You are kidding right? The answer to every issue is not to reset, unplug or even funnier remove the battery.
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You cannot remove the battery on a ipad iPhone or iPod. Hold down power button and home button and wait until apple logo appears. Have you installed iTunes on your computer and launched it then connect the iPad to your computer? The battery may need charging. Wait 20 minutes then try again