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soroban

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Jan 28, 2005
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Find the next equation in the sequence.

. . 33+42  =  5233+43+53  =  63        \displaystyle \begin{array}{c} 3^3+4^2 \;=\;5^2 \\ 3^3 + 4^3 + 5^3 \;=\;6^3 \\ \quad\;\;\vdots \qquad\qquad\;\; \vdots \end{array}
 
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Is it

35+43+55+63+74+83=94\displaystyle 3^5+4^3+5^5+6^3+7^4+8^3=9^4

? Or

31+41+53+62+72+83=93\displaystyle 3^1+4^1+5^3+6^2+7^2+8^3=9^3?

 
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