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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 9 Page 414

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

1, 4, 16, 64, 256, and 1024

Practice makes perfect

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

f(n)=4^(n-1) To do so we will construct a table.

n	f(n)=4^(n-1)	f(n)
1	f( 1)=4^(1-1)	1
2	f( 2)=4^(2-1)	4
3	f( 3)=4^(3-1)	16
4	f( 4)=4^(4-1)	64
5	f( 5)=4^(5-1)	256
6	f( 6)=4^(6-1)	1024

The first 6 terms of this explicit sequence are 1, 4, 16, 64, 256, and 1024.

Subchapter links

Communicate Your Answer p.409

Monitoring Progress p.410-413

Exercises p.414-416