This is really the simplest method. Click the button below to see and update Google Play Services from the Play Store:
Google Play services will be shown in the Play Store. You can click the update button to update it.
1. Open settings in your Android phone and go to Google.
2. Click the three dots in the upper right corner of your screen.
3. Select “Help and Feedback” from the drop down menu.
4. Again click the three dots in the upper right corner of the screen that appears.
5. Click on “View in Google Plays Store” from the drop down menu.
6. Google Play Services will be shown in the play store. Click on the update button to update.