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t-n-t-n-1-n-2-t-1-3-t-2-t-3-n-2-




Question Number 20187 by naziri1920@gmail.com last updated on 23/Aug/17
t_n =(t_(n−1) /n^2 ), t_1 =3;t_2 ,t_3 ,(n≥2)
$${t}_{{n}} =\frac{{t}_{{n}−\mathrm{1}} }{{n}^{\mathrm{2}} },\:{t}_{\mathrm{1}} =\mathrm{3};{t}_{\mathrm{2}} ,{t}_{\mathrm{3}} ,\left({n}\geqslant\mathrm{2}\right) \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$$$ \\ $$
Commented by Tinkutara last updated on 23/Aug/17
t_2  = (t_1 /4) = (3/4)  t_3  = (t_2 /9) = (1/(12))
$${t}_{\mathrm{2}} \:=\:\frac{{t}_{\mathrm{1}} }{\mathrm{4}}\:=\:\frac{\mathrm{3}}{\mathrm{4}} \\ $$$${t}_{\mathrm{3}} \:=\:\frac{{t}_{\mathrm{2}} }{\mathrm{9}}\:=\:\frac{\mathrm{1}}{\mathrm{12}} \\ $$

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