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Big Ideas Math Integrated I, 2016 View details

6. Arithemetic Sequences

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Exercise 15 Page 204

What is the difference between two consecutive terms?

0.1, -0.2, -0.5

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By observing the change that occurs between consecutive terms, we can describe the pattern of the arithmetic sequence. Here, we see that to get from a term to the next term we subtract 0.3. Therefore, the common difference of the sequence is - 0.3. 1.3+( - 0.3) ⟶1+( - 0.3) ⟶0.7+( - 0.3) ⟶0.4 To find the next three terms in the sequence, we will extend this pattern three times. 1.3&+( - 0.3) ⟶1+( - 0.3) ⟶0.7+( - 0.3) ⟶0.4... &+( - 0.3) ⟶ 0.1+( - 0.3) ⟶ -0.2+( - 0.3) ⟶ - 0.5 Therefore, the next three terms are 0.1, - 0.2, and - 0.5.