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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 3 Page 447

The given rule means that, after the first term of the sequence, every term a_n is the sum of the previous term a_(n-1) and 3.

a_1=1, a_2=4, a_3=7, a_4=10, a_5=13, a_6=16

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)+3 To do so, we will use a table.

n	a_n=a_(n-1)+3	a_(n-1)+3	a_n
1	a_1=1	-	1
2	a_2=a_(2-1)+3	a_1+3= 1+3	4
3	a_3=a_(3-1)+3	a_2+3= 4+3	7
4	a_4=a_(4-1)+3	a_3+3= 7+3	10
5	a_5=a_(5-1)+3	a_4+3= 10+3	13
6	a_6=a_(6-1)+3	a_5+3= 13+3	16

Therefore, the first 6 terms of the sequence are 1, 4, 7, 10, 13 and 16.

Subchapter links

Communicate Your Answer p.441

Monitoring Progress p.442-446

Exercises p.447-450