interesting divisiblity problem.

by hemangsarkar, Sep 19, 2012, 8:14 AM

Q) prove that $\sum_{k=0}^{9} (x^k)$ dividies $\sum_{k=0}^{9} (x^{kkkk})$

here $kkkk$ means that all the digits of the number are the same. this doensn't mean the product.

solution

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