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Sequence Prediction Using Patterns

Practice predicting sequences by identifying first and second differences to find constants. Develop number pattern recognition skills.

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Sequence Prediction Using Patterns

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  1. 2-7 Using Patterns to Predict and Generalize

  2. Find the next two terms in the sequence: 80, 73, 66, 59, 52… First Difference: 80 73 66 59 52 45 38 -7 -7 -7 -7 -7 -7 These are _____________ CONSTANT

  3. Find the next two terms in the sequence: 1, 4, 9, 16, 25… First Difference: 1 4 9 16 25 36 49 +3 +5 +7 +9 +13 +11 +2 +2 +2 +2 +2 Second Difference: These are _____________ CONSTANT

  4. Find the next two terms in the sequence: • 13, 23, 33, 43, 53, … 125 216 1 8 27 64 343 +7 +19 +37 +61 +91 +127 +12 +18 +24 +30 +36 +6 +6 +6 +6

  5. The third and fourth terms of a sequence are 15 and 23. If the second differences are a constant 2, what are the first 5 terms of the sequence? 33 5 9 15 23 +4 +6 +8 +10 +2 +2 +2

  6. Homework: p.117 #’s 7-23 odd, 27, 29, 31

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