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s_1 + s_2 + ...+ s_ n if s_m is the number $66... 6$ with m digits 6

Source: 1978 Swedish Mathematical Competition p2

March 26, 2021
Sumnumber theoryDigitsalgebra

Problem Statement

Let sms_m be the number 66⋯666\cdots 6 with mm digits 66. Find s1+s2+⋯+sn s_1 + s_2 + \cdots + s_n
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