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Number Patterns

Number Patterns. Number patterns. Key words: Pattern Sequence Rule Term Formula. 5 12 19 26 33. What is the next number? 30 What next? 37 What is the rule? Add 7. 8 11 14 17 20. What is the next number? 23 What next? 26 What is the rule? Add 3.

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Number Patterns

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  1. Number Patterns

  2. Number patterns Key words: Pattern Sequence Rule Term Formula

  3. 5 12 19 26 33 What is the next number? 30 What next? 37 What is the rule? Add 7

  4. 8 11 14 17 20 What is the next number? 23 What next? 26 What is the rule? Add 3

  5. 8 11 14 17 20 How can we find the 20th term, or the 100th term, without having to keep on adding 3s?

  6. 8 11 14 17 20 We need to find a formula for the nth term.

  7. 8 11 14 17 20 Start by drawing a table:

  8. The formula has 2 parts:(i) difference x term numberin this case: 3n

  9. The formula has 2 parts:(i) difference x term numberin this case: 3n(ii) plus term “0” (the term before the first one!)in this case: 5

  10. 8 11 14 17 20 So for this pattern, nth term = 3n + 5 20th term = 3x20 + 5 = 65 100th term = 3x100 +5 = 305

  11. 7 9 11 13 5 8 11 14 6 10 14 18 20 30 40 50 18 36 54 72 Nth term: 20th term: 2n + 5 45 3n + 2 62 4n + 2 82 10n + 10 210 18n 360 For each pattern, finda) the rule to get from one term to the nextb) the next 3 termsc) the nth term formulad) the 20th term.

  12. JRElse 2004

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