Which of the following techniques is illustrated by suggesting that a problem must be addressed quickly to avoid negative consequences?

The technique illustrated by suggesting that a problem must be addressed quickly to avoid negative consequences is fear appeal. This method leverages the audience's emotions by highlighting potential risks or dangers associated with inaction. By creating a sense of urgency, fear appeal motivates individuals to take action in order to prevent undesirable outcomes. This strategy is commonly used in various forms of communication, especially within advertising, public health campaigns, and political messaging, to drive immediate responses from the audience.

In contrast, other techniques like anecdotal evidence rely on personal stories to support a claim, common sense appeal appeals to the audience's practical reasoning and everyday logic, and authority appeal involves citing credible figures or experts to strengthen an argument. While these methods may be effective in their own right, they do not specifically invoke the urgency and risk that characterize fear appeal.