Pearson Algebra 2 Common Core, 2011
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Pearson Algebra 2 Common Core, 2011 View details
Mid-Chapter Quiz
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Exercise 11 Page 579

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.

a_1 a_2 a_3 a_4 ... a_n
8-3* 1 8-3* 2 8-3* 3 8-3* 4 ... 8-3* n
5 2 -1 -4 ...