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A2
2021 LMT Spring Division A Problem 2
2021 LMT Spring Division A Problem 2
Source:
October 22, 2021
Problem Statement
The function
f
(
x
)
f(x)
f
(
x
)
has the property that
f
(
x
)
=
−
1
f
(
x
−
1
)
.
f(x) = -\frac{1}{f(x-1)}.
f
(
x
)
=
−
f
(
x
−
1
)
1
.
Given that
f
(
0
)
=
−
1
21
,
f(0)=-\frac{1}{21},
f
(
0
)
=
−
21
1
,
find the value of
f
(
2021
)
.
f(2021).
f
(
2021
)
.
Proposed by Ada Tsui
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