Private and Public : analyse de propagation sur les réseaux

In the context of the 'Private and Public' axis, analyze the following scenario. A platform reports that a personal post reaches an audience that follows a growth pattern. Let $P_0 = 100$ be the initial number of people who can see a private post. Due to a change in privacy settings, the post becomes public and its reach grows by a factor of $r = 3$ every hour. Calculate the number of people $P_n$ who have seen the post after $n = 3$ hours using the formula $P_n = P_0 \times r^n$. Then, reflect on the following question: 'How does the shift from a private audience of $100$ to the resulting public reach challenge the individual's control over their personal life?'