1. Let's analyze statement 7: "Two different patterns can look the same for the first few terms but behave differently later." 2. This statement is **always true** because initial terms of sequences or patterns can coincide, but their rules or formulas may differ, causing divergence in later terms. 3. For example, consider the sequences defined by $a_n = n$ and $b_n = n + (-1)^n$. For the first few terms, they may appear similar, but eventually, $b_n$ oscillates while $a_n$ grows steadily. 4. Now, statement 8: "Representing a pattern in multiple ways can reveal mistakes in reasoning." 5. This is also **always true** because expressing a pattern algebraically, graphically, or verbally can highlight inconsistencies or errors that might be missed if only one representation is used. 6. For instance, a formula might seem correct algebraically but produce unexpected results when graphed, indicating a mistake. 7. Therefore, both statements are always true due to the nature of patterns and the benefits of multiple representations in mathematics.