Show that if d1d2 . . . d9 is a valid RTN, then d9 = 7(d1 +

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Show that if d1d2 . . . d9 is a valid RTN, then d9 = 7(d1 + d4 + d7) + 3(d2 + d5 + d8) + 9(d3 + d6) mod 10. Furthermore, use this formula to find the check digit that follows the eight digits 11100002 in a valid RTN.
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