Why will my iPad not show available updates after 10.3.4?
How can I update my iPad when it shows that it is up to date in version 10.3.4
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If your iPad has been stuck on iOS 10.3.3 for the past few years, with no upgrades/updates forthcoming, then you own an iPad 4th generation.
A 4th gen iPad cannot be upgraded beyond iOS 10.3.3/10.3.4.
A 4th gen iPad is now a 7-year old device.
Its internal hardware is too old, underpowered and completely incompatible with any current and future versions of iOS.
Sorry.
If you need an iPad that can run the latest and greatest versions of iOS, as well as, the most current apps available, then, you will need to purchase a new iPad from Apple or a discounted, refurbished iPad from Apple’s Refurbished & Clearance section of Apple’s Website.
Best of Luck to You!