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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 48 Page 279

Substitute 2, 4, and 11 for n.

Second: -9
Fourth: -5
Eleventh: 9

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)=-11+(n-1)(2)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)=-11+(n-1)(2)

n= 2

A( 2)=-11+( 2-1)(2)

Subtract term

A(2)=-11+(1)(2)

Identity Property of Multiplication

A(2)=-11+(2)

Remove parentheses

A(2)=-11+2

Add terms

A(2)=-9

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

n^(th) term	-11+(n-1)(2)	A(n)
2	-11+( 2-1)(2)	-9
4	-11+( 4-1)(2)	-5
11	-11+( 11-1)(2)	9

The second, fourth, and eleventh terms are -9, -5, and 9.

Subchapter links

Lesson Check p.278

Practice and Problem-Solving Exercises p.279-281

Standardized Test Prep p.281

Mixed Review p.281