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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 4 Page 447

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 5.

a_1=1, a_2=- 4, a_3=- 9, a_4=- 14, a_5=- 19, a_6=- 24

Practice makes perfect

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

a_1&=1 a_n&=a_(n-1)-5 To do so, we will use a table.

n	a_n=a_(n-1)-5	a_(n-1)-5	a_n
1	a_1=1	-	1
2	a_2=a_(2-1)-5	a_1-5= 1-5	- 4
3	a_3=a_(3-1)-5	a_2-5= - 4-5	- 9
4	a_4=a_(4-1)-5	a_3-5= - 9-5	- 14
5	a_5=a_(5-1)-5	a_4-5= - 14-5	- 19
6	a_6=a_(6-1)-5	a_5-5= - 19-5	- 24

Therefore, the first 6 terms of the sequence are 1, - 4, - 9, - 14, - 19 and - 24.

Subchapter links

Communicate Your Answer p.441

Monitoring Progress p.442-446

Exercises p.447-450