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 10 Page 579

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

a_n=2^n

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

2, 4, 8, 16, ... Note that all the terms in the sequence are consecutive powers of 2. We will use this to write the formula.

a_1 a_2 a_3 a_4 ... a_n
2^1 2^2 2^3 2^4 ... 2^n
2 4 8 16 ...