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Canadian Open Math Challenge
1997 Canadian Open Math Challenge
10
10
Part of
1997 Canadian Open Math Challenge
Problems
(1)
COMC 1997 #10
Source:
6/8/2017
Consider the ten numbers
a
r
,
a
r
2
,
a
r
3
,
.
.
.
,
a
r
10
ar, ar^2, ar^3, ... , ar^{10}
a
r
,
a
r
2
,
a
r
3
,
...
,
a
r
10
. If their sum is 18 and the sum of their reciprocals is 6, determine their product.