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Would you show the solution step by step for better understanding? 5. Suppose that a. is a positive integer relatively prime to 10. Show that

Would you show the solution step by step for better understanding?

5. Suppose that a. is a positive integer relatively prime to 10. Show that a divides infinitely many 'repunits' , i.e., numbers of the form anll...11. n e.g., R2 =11, R3 = 111, R4 = 1111, etc. Hint: 10n1 R\"_ 101'

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