The primary purpose of this study was to examine social media advertising's persuasive power on mature students' purchasing behaviour. Social Media (SM) has become an integral part of daily life as a source of inspiration, entertainment, shopping, news and information. SM has a profound impact on consumer behaviour. Furthermore, SM allows companies to communicate better with their consumers and strengthen their associations. The advertising world has not been spared by social media influence. Companies are now more careful with social media advertising, significantly predicting consumer responses and behaviour and avoiding unexpected blunders to prevent a viral consumer backlash on networking sites. This quantitative study aimed to test two hypotheses regarding social media advertising persuasion on mature students' buying behaviour. First, an online survey was conducted using Google Forms to collect data from mature students studying in a private higher education institution in England. Second, we validated the regression results using an Artificial Neural Network (ANN) approach. Data were quantitatively analysed using Statistical Package for the Social Sciences (SPSS) version 26 and RStudio. The hypothesis testing results showed time spent on social media to be significantly associated with social media advertising persuasion. Furthermore, the neural network results confirmed the logistic model and suggested that mature students who found social media advertisements useful, persuasive and helpful in making decisions were more likely to purchase products online. In conclusion, social media advertising is one of the major driving forces behind user purchases of goods and services in the current environment. Social media advertising was collectively analysed and did not consider the number of different social media types, which could be investigated individually. Furthermore, this investigation only considered mature students in the private higher education sector. However, other traditional students in the public higher education sector with their attitudes toward social media advertising persuasion and their purchase behaviour could also be examined. Keywords: Social Media Advertising, Persuasion, Buying Behaviour, Mature Students