If the sum of the first n terms in the sequence is equal to 1/n, find the product of its first 2007 terms.

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- November 19th 2007, 02:45 AMperashsum of the first n
If the sum of the first n terms in the sequence is equal to 1/n, find the product of its first 2007 terms.

- November 19th 2007, 05:04 AMSoroban
Hello, perash!

I must be missing some simple. .I'm getting no pattern . . .

Quote:

If the sum of the first terms in the sequence: is equal to ,

find the product of its first 2007 terms.

We are told that: .

This gives us: .

The denominators are: .

The numerators are: .

. . and I see no pattern there . . .

The desired product is: .

. .*Good luck!*

- November 20th 2007, 09:40 AMPaulRS

But

Then: for

So:

Therefore: when