1976 AHSME Problems/Problem 21
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Problem 21
What is the smallest positive odd integer such that the product is greater than ? (In the product the denominators of the exponents are all sevens, and the numerators are the successive odd integers from to .)
Solution
Combine the terms in the product to get .
The exponent can be simplified to
We want this inequality to be true with the smallest positive odd integer value of :
Now, let's test the answer choices. For , we have . For , we have .
So our answer is . ~jiang147369
See Also
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Followed by Problem 22 | |
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