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An Integer Product (Posted on 2022-05-26)

P(n) is defined as an n-term product (4-2/1)*(4-2/2)*...*(4-2/n).

Prove P(n) is an integer for all natural numbers n.

See The Solution Submitted by Brian Smith

Rating: 5.0000 (1 votes)

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re: demonstration

| Comment 3 of 7 |

(In reply to demonstration by xdog)

Maybe I'm math challeged, but I have a hard time understanding how

(2n)!/(n!)^2 is an integar.

This equals:

[(n+1)*(n+2)*...(2n)]/[1*2*3*..n). If any value in the numerator is prime, the result won't be an integer?

Posted by Kenny M on 2022-05-26 16:37:42

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