How would you go on proving the following conjecture?(adsbygoogle = window.adsbygoogle || []).push({});

Given

[tex]Prove that

S_0 = 0, \quad S_1 = 1, \quad S_n = a S_{n-1} + b S_{n-2}

[/tex]

[tex]

{ S_n }^2 - S_{n-1} S_{n+1} = (-b)^{n-1} \quad (n = 1, 2, 3, ...)

[/tex]

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# Another on recurrence sequences

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