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Sequences

Sequences. A sequence is an ordered list of numbers. Term – Each number in a sequence is called a term . Examples: 1, 2, 3, 4, 5 1 st 2 nd 3 rd 4 th 5 th

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Sequences

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  1. Sequences A sequence is an ordered list of numbers.

  2. Term – Each number in a sequence is called a term. Examples: 1, 2, 3, 4, 5 1st 2nd 3rd 4th 5th termterm term term term 2, 4, 8, 16, 32 1st 2nd 3rd 4th 5th term term term term term

  3. Three Types of Sequences • Arithmetic sequence – each term is found by adding the same number to the previous term. • Geometric sequence – each term is found by multiplying the previous term by the same number.

  4. Neither – each term is found by adding or multiplying the previous term by a different number • Examples: 1, 2, 4, 7, 11, 16 • Rule: Add 1, 2, 3, 4, 5, … • 1, 2, 6, 24, 120, 720 • Rule: Multiply by 2, 3, 4, 5, 6, …

  5. Describe the pattern of each sequence and tell whether it is arithmetic or geometric: • 8, 13, 18, 23, … Rule: Add 5 to each term - Arithmetic • 1, 4, 16, 64, … Rule: Multiply each term by 4 – Geometric • 3, 6, 10, 15, … Rule: Add 3, 4, 5, …to each term - Neither

  6. Determine the next three terms in each sequence: • 0, 9, 18, 27, ___, ___, ___ • 36, 45, 54 • 200, 202, 206, 212, ___, ___, ___ • 220, 230, 242 • 4, 12, 36, 108, ___, ___, ___ • 324, 972, 2916

  7. Create a sequence of four terms in which the first term is 30 and the next terms are found by multiplying by 3. Create a sequence of four terms in which the first term is 25 and the next terms are found by choosing your own rule.

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