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4
sum of elements of set { n/2+m/5 | m, n = 0, 1, 2,..., 100}
sum of elements of set { n/2+m/5 | m, n = 0, 1, 2,..., 100}
Source: 2011 Romania District VII p4
September 1, 2024
algebra
number theory
Problem Statement
Find the sum of the elements of the set
M
=
{
n
2
+
m
5
∣
m
,
n
=
0
,
1
,
2
,
.
.
.
,
100
}
M = \left\{ \frac{n}{2}+\frac{m}{5} \,\, | m, n = 0, 1, 2,..., 100\right\}
M
=
{
2
n
+
5
m
∣
m
,
n
=
0
,
1
,
2
,
...
,
100
}
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