The term 'persistently pursue' can be summarized by the word 'HOUND, ' which is a five-letter word. To HOUND someone means to follow them or pursue them relentlessly, often in an annoying or intimidating way. This term is often used to describe someone who is determined to achieve a goal, no matter how difficult it may be. It can also be used to describe someone who is constantly asking for something or trying to get something from someone else.