Final answer:
The three types of speeches are informative, entertaining, and persuasive, with the latter being the correct answer to complete the statement.
Step-by-step explanation:
The three most popular types of speeches are informative, entertaining, and persuasive. Informative speech explains or describes topics in a way that makes them comprehensible to the audience, often using media such as visuals or videos to illustrate points. Entertaining speech utilizes humor to connect with the audience, potentially including various comedic elements like wordplay or physical comedy. Persuasive speech, however, aims to convince the audience of a particular point of view or influence their beliefs and behaviors. Therefore, the correct answer to fill in the blank is '1) persuasive'.