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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 12 Page 204

What is the difference between two consecutive terms?

$45,$ $56,$ $67$

Practice makes perfect

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

11 .

Therefore, the common difference of the sequence is

11 .

1 ⟶ + 11 12 ⟶ + 11 23 ⟶ + 11 34

To find the next three terms in the sequence, we will extend this pattern three times.

1 \to + 11 12 \to + 11 23 \to + 11 34 \to + 11 45 \to + 11 56 \to + 11 67

Subchapter links

Communicate Your Answer p.199

Monitoring Progress p.200-203

Exercises p.204-206