Sequences An arithmetic sequence is a list in which each term is found by adding the same number to the previous term. 1, 3, 5, 7, 9, … +2 +2 +2 +2 Example 1 Describe the relationship between terms in the arithmetic sequence 17, 23, 29, 35, … Then write the next three terms in the sequence. 17, 23, 29, 35, ….

Katangian ng buod o sintesisAsk students to write a definition of an arithmetic sequence in their own words. ARITHMETIC SEQUENCE: A sequence is called arithmetic if there is a real number 𝑑 such that each term in the sequence is the sum of the previous term and 𝑑. Arithmetic sequences are often called linear sequences. Have students explain why. Example 1 (10 minutes)

7,11,15,19. Your input 7,11,15,19 appears to be an arithmetic sequence. Find the difference between the members. a 2-a 1 =11-7=4; a 3-a 2 =15-11=4; a 4-a 3 =19-15=4; The difference between every two adjacent members of the series is constant and equal to 4