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2021 BMT
14
BMT 2021 General p14
BMT 2021 General p14
Source:
September 27, 2023
algebra
complex numbers
Problem Statement
Let
r
1
,
r
2
,
.
.
.
,
r
47
r_1, r_2, ..., r_{47}
r
1
,
r
2
,
...
,
r
47
be the roots of
x
47
−
1
=
0
x^{47} - 1 = 0
x
47
−
1
=
0
. Compute
∑
i
=
1
47
r
i
2020
.
\sum^{47}_{i=1}r^{2020}_i .
i
=
1
∑
47
r
i
2020
.
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