Asked by Anonymous
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<sup>th</sup> term is 600/2<sup>n</sup> so for n=1 you'd have
600/2 = 300, so you might want to alter the general term to be
600/2<sup>n-1</sup> then for n=1 you'd have
600/2<sup>1-1</sup> = 600/2<sup>0</sup> =600/1 = 600
For n=2 you'd have 600/2<sup>1</sup> = 300
Then y(n) would be right for the first 4 terms of the sequence.
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<sup>th</sup> term is 600/2<sup>n</sup> so for n=1 you'd have
600/2 = 300, so you might want to alter the general term to be
600/2<sup>n-1</sup> then for n=1 you'd have
600/2<sup>1-1</sup> = 600/2<sup>0</sup> =600/1 = 600
For n=2 you'd have 600/2<sup>1</sup> = 300
Then y(n) would be right for the first 4 terms of the sequence.
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