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That screen indicates that the firmware/software of your iPad is corrupted. This happens if the iPad was interrupted during the update. You need to update or restore the iPad software through iTunes application (from computer). Updating will not delete anything, but restoring will delete everything from the iPad unfortunately. But we will try to update it without restoring first, so if there is any way to get your date, this will do it.
But if you've backed up your iPad to iTunes on your computer or iCloud, then you can restore all your data back after restoring your iPad from iTunes/iCloud. You can also redownload all your past purchases for free using the same account.
Follow the steps below to restore your iPad from your computer.
First download and install latest iTunes on your computer from here : https://www.apple.com/itunes/download/
Then connect the iPad to your computer with the USB Cable.
Open iTunes application on your computer. iTunes will ask you to update or restore your iPad . Try Update first.
This will download the firmware and once it is finished, it will update. If it gives any error, disconnect and reconnect your iPad. Then hit Update again.
If that didn't work, then repeat the steps again and this time click Restore.
Remember, it may take a while to restore the iPad (the iOS firmware has to be downloaded, you will see the Download button - a downward arrow button with spinning circle around it, at the top right corner of iTunes screen. Click it to see the time remaining)
Please let me know if that didn't work, so I will continue to help you until we fix the problem.
Note : This is not my final answer. I strive to provide Excellent service or 5 star service. If you feel you've received anything less or if you are not satisfied or if my solutions didn't work, please don't rate me bad or poor or ok. Instead, please let me know and I will try my best to help you until you are fully satisfied or the issue is resolved.