Final answer:
After determining that each term in the sequence decreases by 13 from the previous term, the next two terms in the sequence are 37 and 24 via inductive reasoning.
Step-by-step explanation:
To predict the next two terms in the sequence provided (89, 76, 63, 50, ...), we can start by looking at the differences between the terms. Subtracting each term from the one before it shows us that the difference is consistently -13: (76-89 = -13, 63-76 = -13, 50-63 = -13).
Using inductive reasoning, we conclude that this pattern will continue. Therefore, the next term would be 50 minus 13, which is 37. Following that, the subsequent term would be 37 minus 13, resulting in 24. Hence, the next two terms in the sequence should be 37 and 24.