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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 12 Page 279

What is the difference between pairs of consecutive terms?

Pattern: Add $- 6$ to the previous term.
Next Two Terms: $- 14,$ $- 20$

Practice makes perfect

To describe the pattern of the sequence, we need to find the change that occurs between each pair of consecutive terms. Here, notice that the difference between each pair of consecutive terms in the sequence is

- 6 .

We can describe the pattern as add

- 6

to the previous term.

10 ⟶ + (- 6) 4 ⟶ + (- 6) - 2 ⟶ + (- 6) - 8 ⟶ + (- 6) \dots

To find the fifth and sixth terms, we follow this pattern.

10 ⟶ + (- 6) 4 ⟶ + (- 6) - 2 ⟶ + (- 6) - 8 ⟶ + (- 6) - 14 ⟶ + (- 6) - 20

Subchapter links

Lesson Check p.278

Practice and Problem-Solving Exercises p.279-281

Standardized Test Prep p.281

Mixed Review p.281