4-7 Arithmetic Sequences

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Presentation transcript:

4-7 Arithmetic Sequences

Sequence: is an ordered list of numbers that often form a pattern Term of a Sequence: What each number in the list is called

Arithmetic Sequence: The difference between consecutive terms is constant This difference is called the Common Difference

Problem 1 and 2: Extending Sequences and Identifying Arithmetic Sequences Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 3, 8, 13, 18, …

Tell whether the sequence is arithmetic Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 6, 9, 13, 17

Tell whether the sequence is arithmetic Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 8, 15, 22, 30

Tell whether the sequence is arithmetic Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 10, 4, –2, –8

Problem 3: Writing a Recursive Formula

Write a recursive formula for the arithmetic sequence 70, 77, 84, 91, …

Write a recursive formula for the arithmetic sequence 97, 88, 79, 70, …

Problem 4: Writing an Explicit Formula The common difference of the sequence The 1st term of the sequence

Write an explicit formula for the arithmetic sequence 3, 7, 11, 15, …

Write an explicit formula for the arithmetic sequence 3, −2, −7, −12, …