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National and Regional Contests
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Chisinau City MO
1975 Chisinau City MO
103
103
Part of
1975 Chisinau City MO
Problems
(1)
Chisinau MO p103 1975 R2 VIII 1/2-1/3+1/4-...+1/1974 - 1/1975 <2/5
Source:
3/16/2021
Prove the inequality:
1
2
−
1
3
+
1
4
−
1
5
+
.
.
.
+
1
1974
−
1
1975
<
2
5
\frac{1}{2}-\frac{1}{3}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{1974}-\frac{1}{1975}<\frac{2}{5}
2
1
−
3
1
+
4
1
−
5
1
+
...
+
1974
1
−
1975
1
<
5
2
inequalities
algebra