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        Finding a and b in un+1 = aun + b
       
                  
        In advance sorry for the very collumn layout but I tihnk it makes the question a lot clearer.
 un+1 = aun + b
 
 u1 = 5,
 u2 = 9.5,
 u3 = 20.75
 
 so
 
 9.5= a(5) +b
 20.75= a(9.5) + b
 
 now I am not sure what to do from here one, should you combine both the equations or do a simultanious equation?
 
 Combining
 
 30.25 = 2a(47.5) +2b
 
 x/2
 
 15.125 = a(47.5) + b
 
 15.125 - b = a(47.5)
 
 (15.125 -b)/47.5 = a
 
 I'm not sure if this is the right route  since I have a and b on either sidebut I'm lost from here, any help would be appreciated:)
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