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1SimpleNWierdSequences

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Practice inductive reasoning

Practice inductive reasoning

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  • 4, 5, 6, 7, 6
  • Transcript

    • 1. Inductive Reasoning 1 2 3 4 5 6 … n … 20 0 3 10 21 36 55 … ? … ?
    • 2. Sequences Terms: 4, 5, 6, 7, 8 … Terms: A, C, E, G, …
    • 3. Find the next 2 terms. 2, 4, 6, 8, 10, ___, ____ 5, 10, 15, 20, 25, ___, ____ 4, 8, 12, 16, 20, ___, ____ Add two to the previous term. 12 14 Add 4 to the previous term. 24 28 30 35 Add 5 to the previous term.
    • 4. Find the next 2 terms. 1, 3, 5, 7, 9, ___, ____ 3, 5, 7, 9, 11, ___, ____ 1, 4, 9, 16, 25, ___, ____ Add 2 to the previous term. Add 3, 5, 7, 9, ... 11 13 36 49 13 15 Add 2 to the previous term.
    • 5. Find the next 2 terms. 1, .5, .33, .25, ____, ____ 1, 8, 27, 64, ____, ____ 10, 5, 2.5, 1.25, ____, ____ .2 .166 .625 .3125 125 216 Perfect cubes of the counting numbers Half the previous term
    • 6. Find the next 2 terms. 10, 21, 32, 43, ____, ____ 16, 25, 36, 49, ____, ____ 15, 19, 23, 27, ____, ____ 54 65 31 35 64 81 Add 11 to the previous term. Add 4 to the previous term. Add 9, 11, 13, 15, 17 …
    • 7. Find the next 2 terms. 9, 16, 21, 24, ____, ____ 16, 17, 19, 22, ____, ____ 3, 32, 321, 3213, ____, ____ 25 24 32132 321321 26 31 Add 7, 5, 3, 1, -1, -3 … 3, 32, 321, and repeat as add on. Add 1, add 2, add 3, …
    • 8. Weird Sequences A, C, E, G, ___ 1, 2, 3, 5, 8, 13, ___ O, T, T, F, F, S, S, E, ___ I N 21 Skip every other letter First letter of each counting number Fibbonacci Sequence: Add the previous 2 terms.
    • 9. Weird Sequences 0, .5, .67, .75, .8, ____ 1, 1.141, 1.73, 2, 8, 2.24, ___ 4, 6, 8, 9, 10, 12, 14, ___ .833 11 13 16 Add 2, then 2, then 1, then 1, then 2, then 2, …
    • 10. Weird Sequences 1, 2, 5, 20, 50, 100, ____ A, E, F, H, I, K, L, M, ___ A, K, Q, J, ___ 200 10 N Numbers on dollar bills. Letters that are not curved. Add 2 to the previous term.
    • 11. Weird Sequences 8, 5, 4, 9, 1, 7, 6, ____ B, C, D, G, J, ___ 60, 90, 108, 120, ___ 3 O 128.6 digits in alphabetical order Curved letters Interior angles of regular polygons
    • 12. Summary Sometimes the gaps between terms are constant. Sometimes the gaps between terms increase at a pattern. Sometimes the next term is a multiple of the previous term. If so, this can be seen by dividing a term by the previous term.
    • 13. Summary The purpose of these exercises is to get practice at recognizing patterns. Sometimes the patterns are bizzare. It is not necessary to be able to find all the patter.
    • 14. C’est fini. Good day and good luck. A Senior Citizen Production That’s all folks.
    • 15. C’est fini. Good day and good luck.

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