Some properties of the sequence of numbers {an}

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  • anの数列の下二桁の数の規則性

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Abstract

In the lecture of mathematics course of the Junior Doctor Program of Naruto University of Education, the lead author, the second author and the third author studied a sequence of numbers 2n, and found the regularity property in the last two digits of these numbers. Thanks to comments received in the poster session of the Science Conference 2018, we found another two properties of the sequences; 1) one property, which is similar to the one found for the sequence 2n, holds for an(n≧2); 2) the other property, which is also similar to the one found for the sequence 2n, holds for an(n≧2) of p-positional notation. This paper describes the proofs of three properties of the sequences.

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