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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 8 Page 414

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

3, 10, 29, 66, 127, and 218

Practice makes perfect

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

f(n)=n^3+2 To do so we will construct a table.

n	f(n)=n^3+2	f(n)
1	f( 1)= 1^3+2	3
2	f( 2)= 2^3+2	10
3	f( 3)= 3^3+2	29
4	f( 4)= 4^3+2	66
5	f( 5)= 5^3+2	127
6	f( 6)= 6^3+2	218

The first 6 terms of this explicit sequence are 3, 10, 29, 66, 127, and 218.

Subchapter links

Communicate Your Answer p.409

Monitoring Progress p.410-413

Exercises p.414-416