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 12 Page 579

Pay close attention to how terms are related and how each term is related to its position.

a_n=n^2+1

Practice makes perfect
We want to write an explicit formula for the given sequence.

2, 5, 10, 17, ... Note that all terms in the sequence are square numbers +1. We will use this to write the formula.

a_1 a_2 a_3 a_4 ... a_n
1^2+1 2^2+1 3^2+1 4^2+1 ... n^2+1
2 5 10 17 ...