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252
ASU 252 All Soviet Union MO 1978 a_n the closest to \sqrt n integer, sum 1/a_i
ASU 252 All Soviet Union MO 1978 a_n the closest to \sqrt n integer, sum 1/a_i
Source:
July 6, 2019
Sum
algebra
Problem Statement
Let
a
n
a_n
a
n
be the closest to
n
\sqrt n
n
integer. Find the sum
1
/
a
1
+
1
/
a
2
+
.
.
.
+
1
/
a
1980
1/a_1 + 1/a_2 + ... + 1/a_{1980}
1/
a
1
+
1/
a
2
+
...
+
1/
a
1980
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