Big Ideas Math Integrated I, 2016
BI
Big Ideas Math Integrated I, 2016 View details
6. Arithemetic Sequences
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Exercise 1 Page 200

What is the difference between two consecutive terms?

36, 48, 60

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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 add 12. Therefore, the common difference of the sequence is 12.

-12 + 12 ⟶ 0 + 12 ⟶ 12 + 12 ⟶ 24 To find the next three terms in the sequence, we will extend this pattern three times. -12 + 12 → 0 + 12 → 12 + 12 → 24+ 12 → 36+ 12 → 48+ 12 → 60