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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

7. Arithmetic Sequences

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Exercise 53 Page 280

Substitute 2, 4, and 11 for n.

Second: -3.2
Fourth: -5.4
Eleventh: -13.1

Practice makes perfect

To find certain terms in a sequence described by an explicit formula, substitute the number of the desired term into the given formula to get the term's value. A(n)=-2.1+(n-1)(-1.1)We can find the second, fourth, and eleventh terms of the sequence by substituting 2, 4, and 11 for n into the above formula.

A(n)=-2.1+(n-1)(-1.1)

n= 2

A( 2)=-2.1+( 2-1)(-1.1)

Subtract term

A(2)=-2.1+(1)(-1.1)

Identity Property of Multiplication

A(2)=-2.1+(-1.1)

a+(- b)=a-b

A(2)=-2.1-1.1

Subtract term

A(2)=-3.2

Now, let's do the same thing for the fourth and eleventh terms.

n^(th) term	-2.1+(n-1)(-1.1)	A(n)
2	-2.1+( 2-1)(-1.1)	-3.2
4	-2.1+( 4-1)(-1.1)	-5.4
11	-2.1+( 11-1)(-1.1)	-13.1

The second, fourth, and eleventh terms are -3.2, -5.4, and -13.1.

Subchapter links

Lesson Check p.278

Practice and Problem-Solving Exercises p.279-281

Standardized Test Prep p.281

Mixed Review p.281