If - - are the roots of the equation a x2-b x-c-0 and Sn-n-n then a Sn-1-b Sn-c Sn-1-n - 2

The correct option is D S_n+1=α^n+1+β^n+1 =(α + β)(α^n+β^n) αβ (a^n 1+β^n 1) = b/a.S_n c/a.S_n 1 ...

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Algebra of Limits

If α, β are t...

Question

If $α, β$ are the roots of the equation $a x^{2} + b x + c = 0 a n d S_{n} = α^{n} + β^{n} t h e n a S_{n + 1} + b S_{n} + c S_{n - 1} = (n \geq 2)$

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