Sequences A sequence is an ordered list of

Term – Each number in a sequence is called a term. Examples: 1, 2,

Three Types of Sequences • Arithmetic sequence – each term is found by adding

• Neither – each term is found by adding or multiplying the previous

Describe the pattern of each sequence and tell whether it is arithmetic or geometric:

Determine the next three terms in each sequence: • 0, 9, 18, 27, ___,

Create a sequence of four terms in which the first term is 30 and

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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 term term 2, 4, 8, 16, 32 1 st 2 nd 3 rd 4 th 5 th term term

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.

• 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, …

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

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

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.