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Big Ideas Math Integrated I, 2016 View details

6. Arithemetic Sequences

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Exercise 3 Page 200

What is the difference between two consecutive terms?

3, 2 34, 2 12

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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 14. Therefore, the common difference of the sequence is - 14. 4 +( - 14) ⟶ 3 34 +( - 14) ⟶ 3 12 +( - 14) ⟶ 3 14 To find the next three terms in the sequence, we will extend this pattern three times. 4& +( - 14) ⟶ 3 34 +( - 14) ⟶ 3 12 +( - 14) ⟶ 3 14 ... & +( - 14) ⟶ 3+( - 14) ⟶ 2 34+( - 14) ⟶ 2 12 Therefore, the next three terms are 3, 2 34, and 2 12.