Final answer:
The groups mentioned absorbed influences from European traditions and American jazz, with 1) European traditions, jazz being the correct answer for the fill-in-the-blank question. This is reflective of the development of American music genres like klezmer, which maintained their distinct sound while being influenced by American musical styles.
Step-by-step explanation:
Once in the United States, these groups absorbed influences from European traditions and American jazz, but retained their distinctive sound. Since the 1970s, this music has undergone a revival in the United States with the popularity of such groups as the Klezmatics. The correct answer from the options provided would be 1) European traditions, jazz. This description pertains to a genre like klezmer music, which originally comes from Eastern European Jewish traditions and has been influenced by American music, especially jazz, all the while maintaining its unique characteristics.
American music has a rich history of blending different cultural music styles. Notable examples include the development of genres such as jazz, which has roots in African American traditions and was heavily shaped by both African and European music. Another American musical innovation, rock 'n' roll, also emerged from a mix of African rhythm and blues with white performers, like Elvis Presley, popularizing it. The influence of different cultures on American music has led to innovations that have become synonymous with American culture and have enjoyed worldwide popularity.