Sequences

• What are number sequences?

  Sets of numbers that follow a pattern
• What defines an arithmetic sequence?

  Adding or subtracting each time
• How is a geometric sequence defined?

  Multiplying or dividing by the same value
• What is a linear sequence?

  Sequence that Increases or decreases by the same amount
• What are terms in a sequence?

  The numbers in a sequence
• What does the term to term rule describe?

  How to get from one term to another
• What is the term to term rule for the sequence 3, 7, 11, 15?

  Add 4 to each term
• What is the term to term rule for the sequence -1, 0.5, 0, 0.5?

  Add 0.5 to each term
• What is the position to term rule?

  Uses algebra to find terms in a sequence
• What is the term to term rule for geometric sequences?

  Multiply or divide by the same value
• How can you show that 3, 6, 12, 24 is a geometric sequence?

  Each term is double the previous term
• What are the next three terms in the sequence 3, 6, 12, 24?

  48, 96, 192
• What are examples of special sequences?

  • Square numbers: 1, 4, 9, 16, 25, 36
  • Triangular numbers: 1, 3, 6, 10, 15
  • Cube numbers: 1, 8, 27, 64, 125
  • Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13
• How is the Fibonacci sequence generated?

  Add the previous two terms together
• What is the difference between arithmetic and geometric sequences?

  Arithmetic adds/subtracts; geometric multiplies/divides