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Question Number 194781 by MM42 last updated on 15/Jul/23
f_(n )   the general sentence is seqiencee  fibonacci.   prove that :  f_(2nāˆ’1) =f_n ^2 +f_(nāˆ’1) ^2
$${f}_{{n}\:} \:\:{the}\:{general}\:{sentence}\:{is}\:{seqiencee} \\ $$$${fibonacci}.\: \\ $$$${prove}\:{that}\::\:\:{f}_{\mathrm{2}{n}āˆ’\mathrm{1}} ={f}_{{n}} ^{\mathrm{2}} +{f}_{{n}āˆ’\mathrm{1}} ^{\mathrm{2}} \\ $$$$ \\ $$

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