1971 AHSME Problems/Problem 33
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Problem
If
is the product of
quantities in Geometric Progression,
their sum, and
the sum of their reciprocals,
then
in terms of
, and
is
Solution (using answer choices)
We can just look at a very specific case:
Here,
and
Then, plug in values of
and
into each of the answer choices and see if it matches the product.
Answer choice
works:
-edited by coolmath34