iPad don’t give option to update

Here’s one of those longer answers (🙂) that explains both why - and your available options. If you’re interested, you can read on…

Whether or not you are able to update any iPad to a newer version of iOS/iPadOS will be dictated by the iPad model - and the currently installed version of iOS. You can find this information here:

Settings > General > About

Not sure which iPad you have? Identify your iPad model.

Here is a list of the highest version of iOS supported by the older models of iPad (for simplicity - “generations” are shortened to a number) that are restricted in their ability to be updated:

iPad1 - iOS 5.1.1

iPad2, iPad3 and iPad mini1 - iOS 9.3.5 (WiFi Only models), iOS 9.3.6 (WiFi & Cellular)

iPad4 - iOS 10.3.3 (WiFi Only), iOS 10.3.4 (WiFi & Cellular)

iPad Air1, iPad mini2 and iPad mini3 - iOS 12.5.5

For these devices, they cannot be updated to later major versions of iPadOS as the internal hardware does not meet the minimum technical requirements (CPU and RAM) for newer versions of iOS/iPadOS.

Newer models, not appearing in the above list, are all able to be updated to the current version, iPadOS 15.6

You may need to consider that compatible Apps for older models of iPad are increasingly difficult to find. App Developers have dropped all support for 32-bit devices - and most for iOS versions preceding iOS11/12/13. As older versions of Apps are removed from the Apple App Store, you’ll not be able to (re)download or install them - which may severely limit the usefulness and utility of your iPad. As such, if you want or need to access most current Apps, requiring more recent versions of iOS than your iPad is capable of support, you’ll need to consider replacement of your iPad with a newer or current model.

Of current models, even the entry-level iPad9 has specifications and capabilities that will massively outperform older models of iPad - and is compatible with the vast majority of current Apps. Other models are more powerful still.

I hope this information provides succinct clarity as to your available options - and the likely limitations of your current iPad.

Likely because as your signature suggests you have an original iPad Air, released in 2013, which cannot be updated past iOS 12.5.5. It's too old, too underpowered, no longer supported and lacks the hardware needed to run the newer iPadOS versions. It's now time to invest in a newer, more modern iPad.

You may see longer responses, but this is the short and simple answer you need.