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Big Ideas Math Algebra 2, 2014

BI

Big Ideas Math Algebra 2, 2014 View details

1. Defining and Using Sequences and Series

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Exercise 13 Page 414

Substitute values for n=1, 2, 3, 4, 5, and 6 to find the first 6 terms.

2/3, 1, 6/5, 4/3, 10/7, 3/2

Practice makes perfect

We are given an explicit rule of a sequence and are asked to find the first 6 terms.

f(n)= 2n/n+2 To do so we will construct a table.

n	f(n)=2n/n+2	f(n)
1	f( 1)=2( 1)/1+2	2/3
2	f( 2)=2( 2)/2+2	1
3	f( 3)=2( 3)/3+2	6/5
4	f( 4)=2( 4)/4+2	4/3
5	f( 5)=2( 5)/5+2	10/7
6	f( 6)=2( 6)/6+2	3/2

The first 6 terms of this explicit sequence are 23, 1, 65, 43, 107, and 32.

Subchapter links

Communicate Your Answer p.409

Monitoring Progress p.410-413

Exercises p.414-416