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Question Number 77800 by mr W last updated on 10/Jan/20

if a_1 =1, a_2 =3 and  a_n =(√(a_(n−1) +a_(n−2) )) with n≥3  find a_n  in explicit form.

$${if}\:{a}_{\mathrm{1}} =\mathrm{1},\:{a}_{\mathrm{2}} =\mathrm{3}\:{and} \\ $$$${a}_{{n}} =\sqrt{{a}_{{n}−\mathrm{1}} +{a}_{{n}−\mathrm{2}} }\:{with}\:{n}\geqslant\mathrm{3} \\ $$$${find}\:{a}_{{n}} \:{in}\:{explicit}\:{form}. \\ $$

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