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![E = \frac{ {3}^{n - 1} + {3}^{n - 3}}{ {3}^{n - 4} + {3}^{n - 6} } + \frac{ {2}^{n - 1} + {2}^{n - 3}}{ {2}^{n - 4} + {2}^{n - 6} } \\ E = \frac{ {3}^{n - 1} + {3}^{n - 3}}{ {3}^{n - 4} + {3}^{n - 6} } + \frac{ {2}^{n - 1} + {2}^{n - 3}}{ {2}^{n - 4} + {2}^{n - 6} } \\](https://tex.z-dn.net/?f=E+%3D++%5Cfrac%7B+%7B3%7D%5E%7Bn+-+1%7D+%2B++%7B3%7D%5E%7Bn+-+3%7D%7D%7B+%7B3%7D%5E%7Bn+-+4%7D++%2B++%7B3%7D%5E%7Bn+-+6%7D+%7D+++%2B+%5Cfrac%7B+%7B2%7D%5E%7Bn+-+1%7D+%2B++%7B2%7D%5E%7Bn+-+3%7D%7D%7B+%7B2%7D%5E%7Bn+-+4%7D++%2B++%7B2%7D%5E%7Bn+-+6%7D+%7D+%5C%5C+)
![E = \frac{ {3}^{n - 1} + {3}^{n - 1}. {3}^{ - 2} }{ {3}^{n -1}. {3}^{ - 3} + {3}^{n - 1}. {3}^{ - 5} } + \frac{ {2}^{n - 1} + {2}^{n - 1}. {2}^{ - 2} }{ {2}^{n - 1} . {2}^{ - 3} + {2}^{n - 1} . {2}^{ - 5} } E = \frac{ {3}^{n - 1} + {3}^{n - 1}. {3}^{ - 2} }{ {3}^{n -1}. {3}^{ - 3} + {3}^{n - 1}. {3}^{ - 5} } + \frac{ {2}^{n - 1} + {2}^{n - 1}. {2}^{ - 2} }{ {2}^{n - 1} . {2}^{ - 3} + {2}^{n - 1} . {2}^{ - 5} }](https://tex.z-dn.net/?f=E+%3D++%5Cfrac%7B+%7B3%7D%5E%7Bn+-+1%7D+%2B++%7B3%7D%5E%7Bn+-+1%7D.+%7B3%7D%5E%7B+-+2%7D+%7D%7B+%7B3%7D%5E%7Bn+-1%7D.+%7B3%7D%5E%7B+-+3%7D+++%2B++%7B3%7D%5E%7Bn+-+1%7D.+%7B3%7D%5E%7B+-+5%7D++%7D+%2B++%5Cfrac%7B+%7B2%7D%5E%7Bn+-+1%7D+%2B++%7B2%7D%5E%7Bn+-+1%7D.+%7B2%7D%5E%7B+-+2%7D+%7D%7B+%7B2%7D%5E%7Bn+-+1%7D+.+%7B2%7D%5E%7B+-+3%7D++%2B++%7B2%7D%5E%7Bn+-+1%7D+.+%7B2%7D%5E%7B+-+5%7D+%7D+)
![E = \frac{{3}^{n - 1}}{{3}^{n - 1}} (\frac{ 1 + {3}^{ - 2} }{{3}^{ - 3} + {3}^{ - 5} } )+ \frac{{2}^{n - 1}}{{2}^{n - 1}} (\frac{1+ {2}^{ - 2} } { {2}^{ - 3} + {2}^{ - 5} } ) E = \frac{{3}^{n - 1}}{{3}^{n - 1}} (\frac{ 1 + {3}^{ - 2} }{{3}^{ - 3} + {3}^{ - 5} } )+ \frac{{2}^{n - 1}}{{2}^{n - 1}} (\frac{1+ {2}^{ - 2} } { {2}^{ - 3} + {2}^{ - 5} } )](https://tex.z-dn.net/?f=E+%3D+++%5Cfrac%7B%7B3%7D%5E%7Bn+-+1%7D%7D%7B%7B3%7D%5E%7Bn+-+1%7D%7D+%28%5Cfrac%7B+1+%2B+%7B3%7D%5E%7B+-+2%7D+%7D%7B%7B3%7D%5E%7B+-+3%7D+++%2B+%7B3%7D%5E%7B+-+5%7D++%7D+%29%2B+++%5Cfrac%7B%7B2%7D%5E%7Bn+-+1%7D%7D%7B%7B2%7D%5E%7Bn+-+1%7D%7D+%28%5Cfrac%7B1%2B+%7B2%7D%5E%7B+-+2%7D+%7D+%7B+%7B2%7D%5E%7B+-+3%7D++%2B+%7B2%7D%5E%7B+-+5%7D+%7D+%29)
![E = \frac{1 + \frac{1}{9} }{ \frac{1}{27} + \frac{1}{243} } + \frac{1 + \frac{1}{4} }{ \frac{1}{8} + \frac{1}{32} } E = \frac{1 + \frac{1}{9} }{ \frac{1}{27} + \frac{1}{243} } + \frac{1 + \frac{1}{4} }{ \frac{1}{8} + \frac{1}{32} }](https://tex.z-dn.net/?f=E+%3D+++%5Cfrac%7B1+%2B++%5Cfrac%7B1%7D%7B9%7D+%7D%7B+%5Cfrac%7B1%7D%7B27%7D+%2B++%5Cfrac%7B1%7D%7B243%7D++%7D+%2B++%5Cfrac%7B1+%2B++%5Cfrac%7B1%7D%7B4%7D+%7D%7B+%5Cfrac%7B1%7D%7B8%7D++%2B++%5Cfrac%7B1%7D%7B32%7D+%7D+)
![E = \frac{\frac{10}{9} }{ \frac{10}{243}} + \frac{ \frac{5}{4} }{\frac{5}{32} } E = \frac{\frac{10}{9} }{ \frac{10}{243}} + \frac{ \frac{5}{4} }{\frac{5}{32} }](https://tex.z-dn.net/?f=E+%3D+++%5Cfrac%7B%5Cfrac%7B10%7D%7B9%7D+%7D%7B+%5Cfrac%7B10%7D%7B243%7D%7D+%2B++%5Cfrac%7B+%5Cfrac%7B5%7D%7B4%7D+%7D%7B%5Cfrac%7B5%7D%7B32%7D+%7D+)
![E = 27 + 8 E = 27 + 8](https://tex.z-dn.net/?f=E+%3D+27+%2B+8)
![E = 35 E = 35](https://tex.z-dn.net/?f=E+%3D+35)
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