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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 9 Page 315

Make a table to organize the terms. Then find the pattern.

$a_{1} = 2, a_{n} = a_{n - 1} + 1.5$

Practice makes perfect

Let's make a table that shows the height of the sunflower for each month.

From the table we see that there is a common difference of

1.5,

making it an arithmetic sequence. Since we know

d = 1.5,

we can use a recursive equation for the arithmetic sequence.

a_{n} = a_{n - 1} + d \Rightarrow a_{n} = a_{n - 1} + 1.5

The recursive rule is the recursive equation together with the first term.

Recursive Rule : a_{1} = 2, a_{n} = a_{n - 1} + 1.5

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320