Tenn. Code Ann. § 7-33-311

The governing body by resolution may authorize properties other than the properties originally benefited by an improvement to receive the benefits of the improvement, and may make equitable provisions, which may be adjusted from year to year as bonds are retired, whereby the owners of such later benefited properties will assume a fair proportionate share of the improvement assessments, or otherwise be placed as nearly as practicable on a basis of financial equity with the owners of properties initially subject to the improvement assessments.