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Big Ideas Math Algebra 2, 2014

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Big Ideas Math Algebra 2, 2014 View details

5. Using Recursive Rules with Sequences

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Exercise 48 Page 448

Is it possible to find the common ratio and the first term just by looking at the recursive rule?

$a_{n} = - 5 (\frac{1}{4})^{n - 1}$

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The explicit rule of a geometric sequence combines the information provided by the two equations of the recursive rule into a single equation.

Recursive : Explicit : a_{1} = a_{1}, a_{n} = r \cdot a_{n - 1} a_{n} = a_{1} r^{n - 1}

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Subchapter links

Communicate Your Answer p.441

Monitoring Progress p.442-446

Exercises p.447-450