i am stuck on an exercise!!!i can't find the pattern within

16,1,20,20,5,18,.......

(Hi)

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- Feb 14th 2009, 10:10 PMfranckherve1pattern
i am stuck on an exercise!!!i can't find the pattern within

16,1,20,20,5,18,.......

(Hi) - Feb 15th 2009, 02:53 AMHallsofIvy
What reason do you have to think there IS a pattern?

- Feb 15th 2009, 08:02 AMfranckherve1What reason do you have to think there IS a pattern?
because they said so and they asked me to find the following number!!!

- Feb 15th 2009, 08:15 AMPlato
Here is a

**news flash for them**:

The largest collection of integer sequences available says that no such sequence is known to exist.

Check it out at: The On-Line Encyclopedia of Integer Sequences - Feb 15th 2009, 08:27 AMTheMasterMind
Look at the common difference for if it was a geometric or arithmetic sequence, or even a recursive formula there would have to be a distinguishable pattern

just look at the differences:

$\displaystyle \frac{1}{16}=0.0625 $

$\displaystyle \frac{20}{1}=1 $

$\displaystyle \frac{20}{20}=1 $

$\displaystyle \frac{5}{20}=0.25 $

$\displaystyle \frac{18}{5}=3.6$

As you can see there is no common difference, and no possible way for it to be an arithmetic or geometric progression.There is also no way to make a recursive formula for the sequence.