The easiest way is to inspect the DOM, find the CSS class name for the alternating items (see inspectCode.png) and override its background property. For more information about the browser's DevTools, debugging tips and tricks you can check out the Improve Your Debugging Skills with Chrome DevTools blogpost.
Example CSS code to override the default style. (Note that this code will remove the background
<style>
div.RadTreeList .rtlA,
div.RadTreeList .rtlR {
background: unset;
}
</style>
Here are some tips and tricks about CSS specifity/selectors, and overriding existing rules: