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5-7-a-2-2-a-3-3-a-4-4-a-5-5-a-6-6-a-7-7-0-a-i-lt-i-a-i-N-Find-possible-value-of-a-2-a-3-a-4-a-5-a-6-a-7-




Question Number 80501 by naka3546 last updated on 03/Feb/20
(5/7)  =  (a_2 /(2!)) + (a_3 /(3!)) + (a_4 /(4!)) + (a_5 /(5!)) + (a_6 /(6!)) + (a_7 /(7!))  0  ≤ a_i  < i  ,  a_i   ∈ N  Find  possible  value  of   a_2  + a_3  + a_4  + a_5  + a_6  + a_7   .
$$\frac{\mathrm{5}}{\mathrm{7}}\:\:=\:\:\frac{{a}_{\mathrm{2}} }{\mathrm{2}!}\:+\:\frac{{a}_{\mathrm{3}} }{\mathrm{3}!}\:+\:\frac{{a}_{\mathrm{4}} }{\mathrm{4}!}\:+\:\frac{{a}_{\mathrm{5}} }{\mathrm{5}!}\:+\:\frac{{a}_{\mathrm{6}} }{\mathrm{6}!}\:+\:\frac{{a}_{\mathrm{7}} }{\mathrm{7}!} \\ $$$$\mathrm{0}\:\:\leqslant\:{a}_{{i}} \:<\:{i}\:\:,\:\:{a}_{{i}} \:\:\in\:\mathbb{N} \\ $$$${Find}\:\:{possible}\:\:{value}\:\:{of}\:\:\:{a}_{\mathrm{2}} \:+\:{a}_{\mathrm{3}} \:+\:{a}_{\mathrm{4}} \:+\:{a}_{\mathrm{5}} \:+\:{a}_{\mathrm{6}} \:+\:{a}_{\mathrm{7}} \:\:. \\ $$

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