Sequence given: 2, 5, 8, 11, 14...

Prove that the product of any two consecutive numbers in the sequence can't be in the sequence?

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- Feb 12th 2006, 01:56 PM #1

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- Feb 12th 2006, 04:07 PM #2Originally Posted by
**Natasha**

We want to multiply two consecutive numbers in the series, so use the n and (n+1) terms:

If this is a member of the series, then for some integer q. Solving for q we obtain:

which is never an integer for any n.

-Dan

- Feb 13th 2006, 01:51 PM #3

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