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Sequence & Series- The sequence f(n) = (2n)! ÷ n!

Expert replies
by CSASHISHPANDAY » Thu Dec 06, 2012 9:52 pm
The sequence f(n) = (2n)! ÷ n! is defined for all positive integer values of n. If x is defined as the product of
the first 10 ten terms of this sequence, which of the following is the greatest factor of x?
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Source: — Problem Solving |

by ceilidh.erickson » Fri Dec 07, 2012 6:03 am
I think you need a little bit more information here. For one thing, you didn't include answer choices. For another, "the greatest factor of x" would simply be x itself, which would require you to find the actual value of that product. We know that the GMAT doesn't actually require us to do that much computation! That would be a really big, ugly number. Are you sure the question didn't say "greatest prime factor"?

Where did you get this question?
Ceilidh Erickson
EdM in Mind, Brain, and Education
Harvard Graduate School of Education
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