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Understanding Sequence Patterns

Learn to identify arithmetic and geometric sequences and continue patterns in numbers. Practice exercises provided with solutions.

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Understanding Sequence Patterns

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  1. Sequences Describe the pattern in the sequence and identify the sequence as arithmetic, geometric, or neither. 7, 11, 15, 19, … 7, 11, 15, 19, … Answer:Each term is found by adding4 to the previous term. This sequence is arithmetic.

  2. Sequences Describe the pattern in the sequence and identify the sequence as arithmetic, geometric, or neither. 3, 6, 12, 24, … 3, 6, 12, 24, … Answer:Each term is found by multiplyingthe previous term by 2. This sequence is geometric.

  3. Sequences Example 7-1b Describe the pattern in the sequence and identify the sequence as arithmetic, geometric, or neither. 5, 9, 18, 22, 31, … Answer: Add 4, add 9; neither.

  4. Sequences 5, 14, 23, 32, … Each term is 9 greater than the previous term. Continue the pattern to find the next three terms. Answer: The next three terms are 41, 50, and 59.

  5. Sequences 9,331.2 Write the next three terms of the sequence. 0.2, 1.2, 7.2, 43.2, … 0.2, 1.2, 7.2, 43.2, Each term is 6 times the previous term. Continue the pattern to find the next three terms. Answer: The next three terms are 259.2, 1,555.2, and 9,331.2.

  6. •6 , geometric +12 , arithmetic •7 , geometric •3 , geometric +1.1 , arithmetic •3, •4, •5 … , neither 20.6, 24.6, 28.6 204.8, 1638.4, 13107.2 53, 58, 63 768, 3072, 12288 1.3, 1.6, 1.9 Sequences 2013, 2020, 2037

  7. Sequences • For each sequence below: • Name the rule (or pattern) • Identify the type of sequence. • Draw the next 2 shapes. 1. 2. • For each sequence below: • Name the rule (or pattern) • Identify the type of sequence. • Fill in the missing term. 3. _____ , 12, 36, 108, … 4. 6, 9.4, 12.8, _____ , 19.6 5. 0.6, 2.4, 9.6, _____

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