We Are Beginning To See A Rise In Gas Prices In Tennessee, But Local Averages Remain The Lowest In The State. According To Triple-A Auto Club Group, The Average May Continue To Increase Ahead Of The Independence Day Holiday Weekend, However, Travelers Could Find Pump Prices Nearly 50 Cents Cheaper Than Last Year’s Holiday. The State Average Is $1.95, Which Is 24 Cents Higher Than A Month Ago.