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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 14 Page 414

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

1, 2/3, 3/5, 4/7, 5/9, 6/11

Practice makes perfect

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

f(n)= n/2n-1 To do so we will construct a table.

n	f(n)=n/2n-1	f(n)
1	f( 1)=1/2( 1)-1	1
2	f( 2)=2/2( 2)-1	2/3
3	f( 3)=3/2( 3)-1	3/5
4	f( 4)=4/2( 4)-1	4/7
5	f( 5)=5/2( 5)-1	5/9
6	f( 6)=6/2( 6)-1	6/11

The first 6 terms of this explicit sequence are 1, 23, 35, 47, 59, and 611.

Subchapter links

Communicate Your Answer p.409

Monitoring Progress p.410-413

Exercises p.414-416