\begin{align}
&nを自然数とし、\\
&a_1 =1 ,b_1=0と定め、\\
&a_{n+1} =4^{a_n} -2^{b_n}\\
&b_{n+1} =3^{a_n} +2^{b_n}\\
&とする．このときa_nとb_nの\\
&大小関係を比較せよ．
\end{align}
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