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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 57 Page 280

A sequence is arithmetic if the difference between two consecutive terms is constant.

Is the Sequence Arithmetic? No.
Explanation: See solution.

Practice makes perfect

When a sequence is arithmetic, the difference between two consecutive terms is constant. Let's see if this is the case for the given sequence.

- 5 ⟶ + 10 5 ⟶ + (- 10) - 5 ⟶ + 10 5 ⟶ + 10 \dots

As we can see, the difference between consecutive terms is not constant. Therefore, the sequence is not arithmetic.

Subchapter links

Lesson Check p.278

Practice and Problem-Solving Exercises p.279-281

Standardized Test Prep p.281

Mixed Review p.281