If \alpha and \beta are the roots of {\x}^2- {\x}-1=0, and {\A}_{ {\n}}=\alpha^{ {\n}}+\beta^{ {\n}}, then Arithmetic Mean of {\A}_{ {\n}-1} and {\A}_{ {\n}} is

NIMCET 2022 Question Paper with solutions

Question : 32 of 120

Marks: +1, -0

α

and

β

are the roots of

{\x}^2- {\x}-1=0

, and

{\A}_{ {\n}}=α^{ {\n}}+β^{ {\n}}

, then Arithmetic Mean of

{\A}_{ {\n}-1}

and

{\A}_{ {\n}}

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