1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Science Advisor

    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]
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook




Loading...
Similar Threads for Number patterns Date
Identify the next number in the pattern Jan 22, 2012
Irrational numbers and repeating patterns Mar 31, 2009
Patterns in prime numbers Apr 5, 2006
Number patterns Aug 25, 2005
Programs to find number patterns Aug 7, 2004