Answer:
One of the most common mistakes students make when working with sequences and functions is misunderstanding the difference between the two. Sequences refer to a list of numbers or terms that follow a specific pattern, while functions are mathematical rules that relate one set of numbers to another. This confusion often arises because some sequences can be described by functions, but not all functions describe sequences.
To avoid this mistake, students should first understand the definitions of sequences and functions and practice identifying whether a given problem involves a sequence or a function. They should also pay attention to the language used in the problem and look for keywords that indicate whether they are dealing with a sequence or a function. Finally, they should practice using different methods to solve problems involving sequences and functions, including graphing, table-building, and algebraic manipulation, to gain a better understanding of the relationships between numbers in a sequence or a function.