Posted by **Anonymous** on Tuesday, October 17, 2006 at 4:39pm.

find the general term that describes the following sequens

600,300,150,75

I the thing is that you divide each of them by 2

so I would go

y(n)= 600/ 2^n

but how do I check if this is right?

is this right?

It is right.

That would certainly be a good guess, and 'a' possible sequence. It would be the most natural one to use too in my opinion.

How to test it?

You're hypothesizing that the general or n^{th} term is 600/2^{n} so for n=1 you'd have

600/2 = 300, so you might want to alter the general term to be

600/2^{n-1} then for n=1 you'd have

600/2^{1-1} = 600/2^{0} =600/1 = 600

For n=2 you'd have 600/2^{1} = 300

Then y(n) would be right for the first 4 terms of the sequence.