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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Recursively Defined Sequences

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Exercise 14 Page 318

Use a table to organize the terms and find the pattern.

$a_{1} = 8, a_{n} = 3 a_{n - 1}$

Practice makes perfect

To write a recursive rule for the given sequence, we will use a table to organize the terms and find the pattern.

The sequence is geometric, with first term

a_{1} = 8

and a common ratio of

r = 3 .

To write the recursive rule, we will substitute these values into the general formula for the recursive rule of a geometric sequence.

a_{1} = a a_{n} = r \cdot a_{n - 1} \Rightarrow a_{1} = 8 a_{n} = 3 a_{n - 1}

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320