Pay close attention to how terms are related and how each term is related to its position.
a_n=8-3n
Practice makes perfect
We want to write an explicit formula for the given sequence.
5, 2, -1, -4, ...
We can see that the difference between consecutive terms is -3. With this information in mind, we can see that the value of a term is the difference between 8 and 3 times the term's position.
