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  3. . a routing transit number (rtn) is a bank code th

. A routing transit number (RTN) is a bank code that appears in the bottom of...

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Advance Math

. A routing transit number (RTN) is a bank code that appears inthe bottom of checks. The most common form of an RTN has ninedigits, where the last digit is a check digit. If d1d2 . . . d9 isa valid RTN, the congruence 3(d1 + d4 + d7) + 7(d2 + d5 + d8) + (d3+ d6 + d9) ? 0 (mod 10) must hold. (a) Show that the check digit ofthe RTN can detect all single errors. (b) Determine whichtransposition errors an RTN check digit can catch and which ones itcannot catch.

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