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x+1/x=3,then how much is
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\[x^7+1/x^7\]
\[x^2+2+1/x^2=3^2\] \[x^2+1/x^2=7\]
\[x^3+y^3=(x+y)(x^2-xy+y^2)\] \[x^3+1/x^3=(3)(7)=21\]
can i make this a sequence \[3,7,21,...\]
sorry \[(3)(7-1)=18\] \[3,7,18..\]
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\[x^4+1/x^4=49-2=47\]
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