1. The problem asks to use inductive reasoning to predict the next number in the sequence: 5, 10, 15, 20, 25. 2. Inductive reasoning involves observing the pattern in the given numbers and making a conjecture about the next number. 3. Observe the differences between consecutive numbers: $10 - 5 = 5$, $15 - 10 = 5$, $20 - 15 = 5$, $25 - 20 = 5$. 4. Since the difference is consistently 5, the sequence increases by 5 each time. 5. Therefore, the next number is $25 + 5 = 30$. 6. Final answer: The next number in the sequence is $30$.