sequences

• Number Sequence


  A set of numbers in a given order
• Term


  Each number in a sequence
• Arithmetic Sequence


  • A sequence which adds or subtracts the same number between each term
• Arithmetic Sequence


  • 21, 14, 7, 0 (subtracted 7 each time)
• Geometric Sequence


  • A sequence with a constant multiplier between each term
• Geometric Sequence


  • 10, 20, 30, 40 (multiplied by 10 each time)
• Triangular Sequence


  • The number of dots in a triangular prism
• Triangular Sequence


  • 3, 6, 10
• Archie Sequence


  • Each term has the sum of the first 2 numbers
• Archie Sequence


  • 2, 6, 27, 46
• Number Sequence


  A set of numbers in a given order
• Term


  Each number in a sequence
• Arithmetic Sequence


  • A sequence which adds or subtracts the same number between each term
• Arithmetic Sequence


  • 21, 14, 7, 0 - I subtracted 7 every time
• Geometric Sequence


  • A sequence with a constant multiplier between each term
• Geometric Sequence


  • 10, 20, 30, 40 - I multiplied the number by 2 each time
• Triangular Sequence


  • The number of dots in a triangular prism
• Triangular Sequence


  • 3, 6, 10
• Fibonacci Sequence


  • Each term has the sum of the first 2 numbers
• Fibonacci Sequence


  • 2, 4, 6, 10
• Generating Sequences


  1. Write the 'Nth term' formula to find any number in the sequence

  2. Replace 'n' with the term number you want to find
• Nth term formula


  A formula that helps you find any number in a sequence
• Nth term formula


  • 2n + 5
• Finding the Nth term

  1. Find the difference between each term

  2. Place the difference in front of 'n'

  3. Workout the new sequence

  4. Make the Nth term equal the number you want
• Finding the Nth term

  • The 8th term is 26, the 12th term is 42, what is the 14th term?
• Adding Sequences


  1. Add if the symbols are the same

  2. Subtract if the symbols are different
• Adding Sequences


  • 12 + (-2) = 10
  • -21 - (-6) = -15
• Sequences


  A sequence is a set of numbers that follow a specific pattern
• Finding the nth term of a sequence

  1. Step 1: Find the difference between the 8th and 12th terms

  2. Step 2: Use the difference to find the formula for the nth term