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CHMMC problems
2014 CHMMC (Fall)
4
2014 Fall Team #4
2014 Fall Team #4
Source:
March 26, 2022
algebra
Problem Statement
Let
b
1
=
1
b_1 = 1
b
1
=
1
and
b
n
+
1
=
1
+
1
n
(
n
+
1
)
b
1
b
2
.
.
.
b
n
b_{n+1} = 1 + \frac{1}{n(n+1)b_1b_2...b_n}
b
n
+
1
=
1
+
n
(
n
+
1
)
b
1
b
2
...
b
n
1
for
n
≥
1
n \ge 1
n
≥
1
. Find
b
1
2
b_12
b
1
2
.
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