The cable to iTunes icon indicates that the firmware/software of your iPad has corrupted. Your only option is to force-restore the iPad to factory settings through iTunes by putting it to recovery mode, which will erase everything from it.
Follow the steps below to restore your iPad by putting it to recovery mode.
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.
If it asked you to restore it, then click Restore and then Restore and Update.
If iTunes doesn't ask you to restore, then do the following
On your iPad press and hold the Home button and the Power button at the same time UNTIL you see a USB cable pointing to iTunes icon on the iPad's screen. The iTunes will also detect a iPad in recovery mode and ask you to restore it.
Click Restore or Restore and Update button.
Note : Put it to recovery mode while connected to computer and also in recovery mode your iPad will show USB cable pointing to iTunes logo. And it will take a while to restore it.
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