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Question Number 199205 by universe last updated on 29/Oct/23

    a_(n+1 ) = a_n  + (√(a_n ^2  + 1))  , a_0  = α     find a_(n )  =  ??

$$\:\:\:\:{a}_{{n}+\mathrm{1}\:} =\:{a}_{{n}} \:+\:\sqrt{{a}_{{n}} ^{\mathrm{2}} \:+\:\mathrm{1}}\:\:,\:{a}_{\mathrm{0}} \:=\:\alpha \\ $$$$\:\:\:\mathrm{find}\:\mathrm{a}_{\mathrm{n}\:} \:=\:\:?? \\ $$

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