if an=α−βαn−βn where α and β are roots of equation x2−x−1=0 and bn=an+1+an−1 then

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if {a}_{{{n}={{^{{{n}}}-^{{{n}}}}}{{-}}}} where and are root

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if $a_{n = \frac{α ^{n} - β ^{n}}{α - β}}$ where $α$ and $β$ are roots of equation $x^{2} - x - 1 = 0$ and $b_{n} = a_{n + 1} + a_{n - 1}$ then

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Amelia Discussed

a_{n = \frac{α ^{n} - β ^{n}}{α - β}}

where

α

and

β

are roots of equation

x^{2} - x - 1 = 0

and

b_{n} = a_{n + 1} + a_{n - 1}

then

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Question Text

a_{n = \frac{α ^{n} - β ^{n}}{α - β}}

where

α

and

β

are roots of equation

x^{2} - x - 1 = 0

and

b_{n} = a_{n + 1} + a_{n - 1}

then