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5-71-5-72-5-73-




Question Number 10577 by pan123 last updated on 19/Feb/17
5^(71) +5^(72) +5^(73) =?
$$\mathrm{5}^{\mathrm{71}} +\mathrm{5}^{\mathrm{72}} +\mathrm{5}^{\mathrm{73}} =? \\ $$
Answered by ridwan balatif last updated on 19/Feb/17
5^(71) +5^(72) +5^(73)   =5^(71) (1+5+5^2 )  =5^(71) ×31
$$\mathrm{5}^{\mathrm{71}} +\mathrm{5}^{\mathrm{72}} +\mathrm{5}^{\mathrm{73}} \\ $$$$=\mathrm{5}^{\mathrm{71}} \left(\mathrm{1}+\mathrm{5}+\mathrm{5}^{\mathrm{2}} \right) \\ $$$$=\mathrm{5}^{\mathrm{71}} ×\mathrm{31} \\ $$

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