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Number patterns

  1. Oct 29, 2004 #1
    The lists below show the relationship between value of x, y & z.
    List A, x: 3, 6, 9, 12, 15,.....
    List B, y: 28, 26, 24, 22, 20,.....
    List C, z: 10.5, 10, 9.5, 9, 8.5,.....
    Find
    a) a fomula for z in terms of x and y,
    b) the nterm of each sequence.

    I can see the pattern in A, B & C but i just am not sure how to connect them.
     
  2. jcsd
  3. Oct 29, 2004 #2
    the nth term for each is givn below:
    a(x): 3n
    b(y): 30-2n
    c(z): 11-0.5(n)

    so...z = 11-0.5(n) = (22-n)/2 = (22-4n+3n)/2 = (22-4n +x)/2 = (8+22-2n-2n+x-8)/2
    = (30-2n-2n+x-8)/2 = (y+x-2n-8)/2 = y/2 + x/2 - n -4 = z
     
  4. Oct 29, 2004 #3

    uart

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    There are many possible solutions.

    For example z(x,y) = y/4 + 7/2 will also work just fine.
     
  5. Oct 29, 2004 #4
    Thanks guys. For (a), my book said that the answer is [tex]z = \frac{1}{2}(52-x-y)[/tex]
     
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