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Suppose that a positive integer n ends with k 9s. Prove that the integer 3n4 + 4n ends with at least 2k 9s.

Suppose that a positive integer n ends with k 9s. Prove that the integer 3n4 + 4n ends with at least 2k 9s.

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Answer Lets denote the positive integer nn ending with kk 9s as nakak1a199nakak1a199 where there are ... blur-text-image

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