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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- Nov 19th 2007, 01:45 AM #1

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- Nov 19th 2007, 04:04 AM #2

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Hello, perash!

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

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!*

- Nov 20th 2007, 08:40 AM #3