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

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CSASHISHPANDAY: Senior | Next Rank: 100 Posts; Posts: 84; Joined: Sat Jun 18, 2011 9:50 pmFollowed by: 3 members; Location: New Delhi; Thanked: 35 times; GMAT Score:800

by CSASHISHPANDAY » Thu Dec 06, 2012 9:52 pm

The sequence f(n) = (2n)! Ã· 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: Beat The GMAT — Problem Solving | Thu Dec 06, 2012 9:52 pm

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ceilidh.erickson: GMAT Instructor; Posts: 2095; Joined: Tue Dec 04, 2012 3:22 pmFollowed by: 247 members; Thanked: 1443 times

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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