APKPure provides the latest version and all the older versions of Google Play services. You can download any version you want from here: All Versions of Google Play services

Google Play Services is an application that runs in the background of an Android-powered device. It is used to update applications from the Google Play store, as well as Google's own apps. It also handles other core functions, like authentication between a device and Google's services, contact synchronisation and more.

This application handles a number of core processes that Android devices strongly require. It underpins functions within Google's game services, the Google Maps navigation system, updates for downloaded and native applications, and location-based service support, which is heavily used in the smartphone industry. It is also required for other core Android services, such as Google Pay.