Final answer:
The terms that complete the description of Tennessee’s music industry during the 1950s are Sun Records and Elvis Presley. These names are significant in the history of music, as they represent the birthplace and a pioneering artist of the rock 'n' roll genre, respectively.
Step-by-step explanation:
The description of part of Tennessee’s music industry during the 1950s is best completed with the terms Sun Records as the small recording studio opened by Sam Phillips in Memphis, Tennessee, in the winter of 1952, and Elvis Presley, the musician signed by Phillips in 1954 who helped put the music label on the map. Presley's blend of gospel, blues, bluegrass, country, western, and R&B developed into what we now recognize as Rockabilly, and this fusion was facilitated by Memphis's rich and diverse musical influences.
The crossroads location of Memphis was instrumental in allowing youth to be exposed to blues from the nearby Mississippi Delta, bluegrass from Kentucky, jump from St. Louis, and western swing from Texas, as well as local gospel music, fostering an environment ripe for musical innovation and the birth of rock 'n' roll.