body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Recursively Defined Sequences

Continue to next subchapter

Exercise 7 Page 318

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 2.

Sequence: 0, 2, 4, 6, 8, and 10
Graph:

Practice makes perfect

We are asked to write the first 6 terms of a sequence, given a recursive rule. a_1&=0 a_n&=a_(n-1)+2, for n ≥ 2

To do so, we will use a table.

n	a_n=a_(n-1)+2	a_(n-1)+2	a_n
1	a_1=0	-	0
2	a_2=a_(2-1)+2	a_1+2= 0+2	2
3	a_3=a_(3-1)+2	a_2+2= 2+2	4
4	a_4=a_(4-1)+2	a_3+2=4+2	6
5	a_5=a_(5-1)+2	a_4+2=6+2	8
6	a_6=a_(6-1)+2	a_5+2=8+2	10

Therefore, the first 6 terms of the sequence are 0, 2, 4, 6, 8, and 10. Let's graph these points!

Subchapter links

Communicate Your Answer p.313

Monitoring Progress p.315-317

Exercises p.318-320