algebra

Identify a pattern and find the next number in the pattern -0.8,-3.2,-12.8,51.2

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asked by helen
  1. If the 2nd term is really +3.2, then the next one is -204.8

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    posted by Steve
  2. If you sequence are :

    - 0.8 , - 3.2 , - 12.8 , - 51.2

    then:


    a1 = - 0.8 = - 0.2 * 4 = - 0.2 * 4 ^ 1

    a2 = - 3.2 = - 0.2 * 16 = - 0.2 * 4 ^ 2

    a3 = - 12.8 = - 0.2 * 64 = - 0.2 * 4 ^ 3

    a4 = - 51.2 = - 0.2 * 256 = - 0.2 * 4 ^ 4


    So:

    an = - 0.2 * 4 ^ n


    a5 = - 0.2 * 4 ^ 5 = - 0.2 * 1024 = - 204.8

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    posted by Bosnian
  3. 2 2/3,3 1/2, ,5 1/6,6

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