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Problems
Contests
National and Regional Contests
Sweden Contests
Swedish Mathematical Competition
1978 Swedish Mathematical Competition
2
2
Part of
1978 Swedish Mathematical Competition
Problems
(1)
s_1 + s_2 + ...+ s_ n if s_m is the number $66... 6$ with m digits 6
Source: 1978 Swedish Mathematical Competition p2
3/26/2021
Let
s
m
s_m
s
m
be the number
66
⋯
6
66\cdots 6
66
⋯
6
with
m
m
m
digits
6
6
6
. Find
s
1
+
s
2
+
⋯
+
s
n
s_1 + s_2 + \cdots + s_n
s
1
+
s
2
+
⋯
+
s
n
Sum
number theory
Digits
algebra