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Splash Screen. Describe the relationships and extend terms in arithmetic sequences. sequence. term arithmetic sequence. Main Idea/Vocabulary. +4. +4. +4. Describe and Extend Sequences.
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Describe the relationships and extend terms in arithmetic sequences. • sequence • term • arithmetic sequence Main Idea/Vocabulary
+4 +4 +4 Describe and Extend Sequences Describe the relationship between the terms in the arithmetic sequence 7, 11, 15, 19, … Then write the next three terms in the sequence. 7, 11, 15, 19 Each term is found by adding 4 to the previous term. Continue the pattern to find the next three terms. 19 + 4 = 23 23 + 4 = 27 27 + 4 = 31 Answer: The next three terms are 23, 27, and 31. Example 1
A B C D Describe the relationship between the terms in the arithmetic sequence 13, 24, 35, 46, … Then write the next three terms in the sequence. A. add 9; 55, 64, 53 B. add 11; 57, 68, 79 C. add 13; 59, 72, 85 D. add 15; 61, 76, 91 Example 1
+0.4 +0.4 +0.4 Describe and Extend Sequences Describe the relationship between the terms in the arithmetic sequence 0.1, 0.5, 0.9, 1.3, … Then write the next three terms in the sequence. 0.1, 0.5, 0.9, 1.3 Each term is found by adding 0.4 to the previous term. Continue the pattern to find the next three terms. 1.3 + 0.4 = 1.7 1.7 + 0.4 = 2.1 2.1 + 0.4 = 2.5 Answer: The next three terms are 1.7, 2.1, 2.5. Example 2
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