Here is a simple way of programmatically enabling location like Maps app:

protected void enableLocationSettings() {
       LocationRequest locationRequest = LocationRequest.create()
             .setInterval(LOCATION_UPDATE_INTERVAL)
             .setFastestInterval(LOCATION_UPDATE_FASTEST_INTERVAL)
             .setPriority(LocationRequest.PRIORITY_HIGH_ACCURACY);

        LocationSettingsRequest.Builder builder = new LocationSettingsRequest.Builder()
                .addLocationRequest(locationRequest);

        LocationServices
                .getSettingsClient(this)
                .checkLocationSettings(builder.build())
                .addOnSuccessListener(this, (LocationSettingsResponse response) -> {
                    // startUpdatingLocation(...);
                })
                .addOnFailureListener(this, ex -> {
                    if (ex instanceof ResolvableApiException) {
                        // Location settings are NOT satisfied,  but this can be fixed  by showing the user a dialog.
                        try {
                            // Show the dialog by calling startResolutionForResult(),  and check the result in onActivityResult().
                            ResolvableApiException resolvable = (ResolvableApiException) ex;
                            resolvable.startResolutionForResult(TrackingListActivity.this, REQUEST_CODE_CHECK_SETTINGS);
                        } catch (IntentSender.SendIntentException sendEx) {
                            // Ignore the error.
                        }
                    }
                });
 }

And onActivityResult:

@Override
protected void onActivityResult(int requestCode, int resultCode, @Nullable Intent data) {
    if (REQUEST_CODE_CHECK_SETTINGS == requestCode) {
        if(Activity.RESULT_OK == resultCode){
            //user clicked OK, you can startUpdatingLocation(...);

        }else{
            //user clicked cancel: informUserImportanceOfLocationAndPresentRequestAgain();
        }
    }
}

You can see the documentation here: https://developer.android.com/training/location/change-location-settings

Follow the steps mentioned below

1) Create a LocationRequest as per your wish

LocationRequest mLocationRequest = LocationRequest.create()
           .setPriority(LocationRequest.PRIORITY_HIGH_ACCURACY)
           .setInterval(10 * 1000)
           .setFastestInterval(1 * 1000);

2) Create a LocationSettingsRequest.Builder

LocationSettingsRequest.Builder settingsBuilder = new LocationSettingsRequest.Builder()
               .addLocationRequest(mLocationRequest);
settingsBuilder.setAlwaysShow(true);

3) Get LocationSettingsResponse Task using following code

Task<LocationSettingsResponse> result = LocationServices.getSettingsClient(this)
              .checkLocationSettings(settingsBuilder.build());

Note: LocationServices.SettingsApi is deprecated so, use SettingsClient Instead.

4) Add a OnCompleteListener to get the result from the Task.When the Task completes, the client can check the location settings by looking at the status code from the LocationSettingsResponse object.

result.addOnCompleteListener(new OnCompleteListener<LocationSettingsResponse>() {
    @Override
    public void onComplete(@NonNull Task<LocationSettingsResponse> task) {
    try {
        LocationSettingsResponse response = 
                          task.getResult(ApiException.class);
        } catch (ApiException ex) {
            switch (ex.getStatusCode()) {
                case LocationSettingsStatusCodes.RESOLUTION_REQUIRED:
                    try {
                        ResolvableApiException resolvableApiException = 
                                 (ResolvableApiException) ex;
                            resolvableApiException
                                   .startResolutionForResult(MapsActivity.this, 
                                         LOCATION_SETTINGS_REQUEST);
                    } catch (IntentSender.SendIntentException e) {

                    }
                    break;
                case LocationSettingsStatusCodes.SETTINGS_CHANGE_UNAVAILABLE:

                    break;
            }
        }
    }
});  

CASE 1: LocationSettingsStatusCodes.RESOLUTION_REQUIRED : Location is not enabled but, we can ask the user to enable the location by prompting him to turn on the location with the dialog (by calling startResolutionForResult).

CASE 2: LocationSettingsStatusCodes.SETTINGS_CHANGE_UNAVAILABLE : Location settings are not satisfied. However, we have no way to fix the settings so we won't show the dialog.

5) OnActivityResult we can get the user action in the location settings dialog. RESULT_OK => User turned on the Location. RESULT_CANCELLED - User declined the location setting request.

Enabling Location with mode High Accuracy or Battery saving without user needing to visit Settings

https://android-developers.googleblog.com/2015/03/google-play-services-70-places-everyone.html

Well found this in google play services 7.0...fusedapiprovider/settingsapi are api to be used.. http://android-developers.blogspot.in/2015/03/google-play-services-70-places-everyone.html?m=1 https://developers.google.com/android/reference/com/google/android/gms/location/SettingsApi

Happy coding..

All these answers are not allowed now. Here is the correct one:

For all those still looking for the Answer:

Here is how OLA Cabs and other such apps are doing it.

Add this in your onCreate

if (googleApiClient == null) {
    googleApiClient = new GoogleApiClient.Builder(this)
            .addApi(LocationServices.API).addConnectionCallbacks(this)
            .addOnConnectionFailedListener(Login.this).build();
    googleApiClient.connect();
            LocationRequest locationRequest = LocationRequest.create();
    locationRequest.setPriority(LocationRequest.PRIORITY_HIGH_ACCURACY);
    locationRequest.setInterval(30 * 1000);
    locationRequest.setFastestInterval(5 * 1000);
    LocationSettingsRequest.Builder builder = new LocationSettingsRequest.Builder()
            .addLocationRequest(locationRequest);

    // **************************
    builder.setAlwaysShow(true); // this is the key ingredient
    // **************************

    PendingResult<LocationSettingsResult> result = LocationServices.SettingsApi
            .checkLocationSettings(googleApiClient, builder.build());
    result.setResultCallback(new ResultCallback<LocationSettingsResult>() {
        @Override
        public void onResult(LocationSettingsResult result) {
            final Status status = result.getStatus();
            final LocationSettingsStates state = result
                    .getLocationSettingsStates();
            switch (status.getStatusCode()) {
            case LocationSettingsStatusCodes.SUCCESS:
                // All location settings are satisfied. The client can
                // initialize location
                // requests here.
                break;
            case LocationSettingsStatusCodes.RESOLUTION_REQUIRED:
                // Location settings are not satisfied. But could be
                // fixed by showing the user
                // a dialog.
                try {
                    // Show the dialog by calling
                    // startResolutionForResult(),
                    // and check the result in onActivityResult().
                    status.startResolutionForResult(Login.this, 1000);
                } catch (IntentSender.SendIntentException e) {
                    // Ignore the error.
                }
                break;
            case LocationSettingsStatusCodes.SETTINGS_CHANGE_UNAVAILABLE:
                // Location settings are not satisfied. However, we have
                // no way to fix the
                // settings so we won't show the dialog.
                break;
            }
        }
    });
}

These are the implmented methods:

@Override
public void onConnected(Bundle arg0) {
    // TODO Auto-generated method stub

}

@Override
public void onConnectionSuspended(int arg0) {
    // TODO Auto-generated method stub

}

@Override
public void onConnectionFailed(ConnectionResult arg0) {
    // TODO Auto-generated method stub

}

Here is the Android Documentation for the same.

This is to help other guys if they are still struggling:

Edit: Adding Irfan Raza's comment for more help.

@Override protected void onActivityResult(int requestCode, int resultCode, Intent data) {
     if (requestCode == 1000) {
         if(resultCode == Activity.RESULT_OK){
             String result=data.getStringExtra("result"); 
         } if (resultCode == Activity.RESULT_CANCELED) {
             //Write your code if there's no result 
         } 
    } 
}