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Let p ,q be integers and let alpha, ...

Let p ,q be integers and let ` alpha, beta ` be the roots of the equation,
`x^(2) - x - 1 = 0 ` where ` alpha ne beta ` For n = 0,1,2,…, let ` a_(n) = p alpha ^(n) + q beta^(n)`.
Fact : If a and b are rational number and ` a + b sqrt(5) = 0 ,` then
a = 0 = b .
If `a_(4) = 28 , then P + 2p= `

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