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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

6. Arithemetic Sequences

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Exercise 14 Page 204

What is the difference between two consecutive terms?

-60, -90, -120

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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 30. Therefore, the common difference of the sequence is - 30.

60+( - 30) ⟶30+( - 30) ⟶0+( - 30) ⟶-30 To find the next three terms in the sequence, we will extend this pattern three times. 60& +( - 30) ⟶30+( - 30) ⟶0+( - 30) ⟶-30 ... & +( - 30) ⟶ -60 +( - 30) ⟶ -90 +( - 30) ⟶ -120 Therefore, the next three terms are - 60, - 90, and - 120.

Subchapter links

Communicate Your Answer p.199

Monitoring Progress p.200-203

Exercises p.204-206