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Download Sequences: A sequence is an ordered list of numbers called terms
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Sequences: A sequence is an ordered list of numbers called terms. The position that the terms are in are called ranks. * The value of the number in the sequence is called the term * The order or place that the number is in is called it's rank( 1st place, 2nd place...) Example: 0,1,4,9,16 The #4 in the example above is in the _______ rank The term value of the 3rd rank is _________. Example 2: 10, 20, 30, 40, 50, 60 What is the rank of the term 40? What term has a rank of 2? Common sequences and filling out tables a) t=2r : What does this expression mean in words? _______________________________________ Fill out the table: Rank Term 1 2 3 4 5 b) t = 2r - 1 : ______________________________ Rank 1 2 3 4 5 4 5 Term c) t = 2r + 1: ________________________________ Rank Term 1 2 3 d) t = r2: ________________________________ Rank 1 2 3 4 5 4 5 Term e) t = r3: __________________________________ Rank 1 2 3 Term Finding the rule of a sequence: To find the rule of a sequence you should follow these steps: List your sequence in a table using TERM & RANK Try to figure out a pattern of operations (what can do to each rank to get to get the term below? Example: 5, 7, 9, 11, 13 Fill out the table: Rank 1 2 3 4 5 3 4 5 Term Rule: ___________________________ You try some: a) 3, 4, 5, 6, 7... Rank 1 2 Term Rule: ______________________________________ b) 6, 9, 12, 15, 18... Rank 1 2 3 4 5 3 4 5 Term Rule: ____________________________________ c) 9, 16, 25, 36, 49... Rank 1 2 Term Rule: ____________________________________________________ Hint*** If you notice a pattern that is going up or down by the same number each time, that is always the number you multiply r (rank) by. Then you just have to figure out if you need to add or subtract a number. Example: 5, 8, 11, 14, 17 Rank 1 2 3 4 5 Term Rule: _________________________________________________ Checking your Rule: Once you figure out a rule for a sequence, replace one of the rank numbers into your rule and make sure you get the term value that you should.
