What term refers to urging someone with flattery or repeated appeals?

The term that refers to urging someone with flattery or repeated appeals is "cajole." This verb is specifically used to describe the act of persuading someone to do something by using gentle, flattery, or even insincere appeals. It often implies a sense of playful persuasion or sweet-talking, suggesting that the person doing the cajoling is employing charm to achieve their goal.

While "coax" can also involve gentle persuasion, it doesn’t necessarily include flattery. "Persuade" is a broader term that refers to convincing someone to do something but lacks the specific connotation of flattery or repeated appeals inherent in "cajole." "Influence" is an even more general term that relates to the act of affecting someone’s beliefs or actions without the nuances of charm or flattery embedded in cajoling. Therefore, "cajole" is the most precise term for urging someone using flattery or repeated appeals.