TechMathII - 1.2 - Sequences
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TechMathII - 1.2 - Sequences

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TechMathII - 1.2 - Sequences TechMathII - 1.2 - Sequences Presentation Transcript

  • Bell Ringer
    • Write in order from least to greatest.
    • 1) -4/9, -2/5, -5/14
    • 2) -6/14, -5/8, -21/45
    • 3) 1/11, 2/19, 5/25
  • Vocabulary
    • Sequences : numerical patterns in which the numbers are arranged in a certain order
    • Terms : the numbers in a sequence
  • Continuing and Identifying a Pattern Ex 1:
    • What is the perimeter (distance around) of the first figure:
    • What is the perimeter of the second figure?
    • What is the pattern in the perimeter of the figures?
    • What is the perimeter of the 6 th and 10 th figures?
    View slide
  • Arithmetic Sequences
    • - When the difference between two consecutive terms of a sequence is the same
    • “ adding the same amount each time”
    • - Common Difference
    View slide
  • Examples
    • Find the next three terms in each arithmetic sequence.
    • 1) 25, 37, 49, 61, …
    • 2) 5, 11, 17, 23, …
    • 3) Z, ZYY, ZYXX, ZYXWW, …
    • 4) A, AA, AAB, AABB, AABBC, …
  • You try 1! Find the next three terms in each arithmetic sequence.
    • 1) -2, 5, 12, 19, …
    • 2) 135, 122, 109, …
    • 3) 1/8, ¼, 3/8, ½, …
    • 4) -21, -32, -43, …
  • Geometric Sequences
    • - Each term is multiplied by a common number or factor to obtain the next term
    • “ multiplying by the same amount each time”
    • - Common Ratio
  • Examples
    • Find the next three terms in each geometric sequence.
    • 1) 48, 24, 12, 6, …
    • 2) 3, 15, 75, 375, …
    • 3) 1, ½, ¼, …
    • 4) 352, -176, 88, -44, …
  • You try 2! Find the next three terms in each geometric sequence.
    • 1) 1, -1, 1, -1, …
    • 2) 135, 45, 15, …
    • 3) 6, 30, 150, …
    • 4) 22500, 4500, 900, …
  • You try 3! Decide whether each sequence is arithmetic or geometric. Then find the next three terms in each sequence.
    • 1) 1, 2, 4, 8, …
    • 2) 13, 9, 5, …
    • 3) 16, -4, 1, …
    • 4) -5, 0, 5, 10, …
  • Homework
    • Sequences WS