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Big Ideas Math Algebra 2, 2014

BI

Big Ideas Math Algebra 2, 2014 View details

5. Using Recursive Rules with Sequences

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Exercise 1 Page 442

The given rule means that, after the first term of the sequence, every term a_n is the difference between the previous term a_(n-1) and 7.

a_1=3, a_2=- 4, a_3=- 11, a_4=- 18, a_5=- 25, a_6=- 32

Practice makes perfect

We are asked to write the first 6 terms of a sequence, given a recursive rule.

a_1&=3 a_n&=a_(n-1)-7 To do so, we will use a table.

n	a_n=a_(n-1)-7	a_(n-1)-7	a_n
1	a_1=3	-	3
2	a_2=a_(2-1)-7	a_1-7= 3-7	- 4
3	a_3=a_(3-1)-7	a_2-7= - 4-7	- 11
4	a_4=a_(4-1)-7	a_3-7= - 11-7	- 18
5	a_5=a_(5-1)-7	a_4-7= - 18-7	- 25
6	a_6=a_(6-1)-7	a_5-7= - 25-7	- 32

Therefore, the first 6 terms of the sequence are 3, - 4, - 11, - 18, - 25 and - 32.

Subchapter links

Communicate Your Answer p.441

Monitoring Progress p.442-446

Exercises p.447-450