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 2 Page 410

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

1, - 2, 4, - 8, 16, and - 32

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

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

n f(n)= (- 2)^(n-1) f(n)
1 f( 1)=(- 2)^(1-1) 1
2 f( 2)=(- 2)^(2-1) - 2
3 f( 3)=(- 2)^(3-1) 4
4 f( 4)=(- 2)^(4-1) - 8
5 f( 5)=(- 2)^(5-1) 16
6 f( 6)=(- 2)^(6-1) - 32

The first 6 terms of this explicit sequence are 1, - 2, 4, - 8, 16, and - 32.