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Mathematics
Problem
Consider the ten numbers
a
r
ar
a
r
,
a
r
2
ar^2
a
r
2
,
a
r
3
ar^3
a
r
3
, ............,
a
r
10
ar^{10}
a
r
10
. If their sum is 18 and the sum of their reciprocals is 6 then the product of these ten numbers, is
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