If the three positive numbers are k+4, 4k-2 and 7k+1 are in G.P, find the numbers.
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Step-by-step explanation:
(k+1/k-3) = (4k-2)/(k+1)
=> (k+1)^2 = (4k-2)(k-3)
=> K^2+2k+1= 4k^2-14k+6
=> 3k^2–16k+5=0
=> 3k^2 -15k -k+5=0
=> (k-5)(3k-1)=0 ,
k-5 =0 or 3k-1=0
k =5 or 1/3
When k=5 , numbers are 5–3,5+1,4*5–2
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