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November 7th, 2008, 11:25 PM
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| | Geometric Sequences + Irrational Numbers Question:
find the general term of Un which as
u3=3 and u9=3/8
--> i am looking for the common ratio atm and this is what i did
u3=u1r^2=3 (1)
u9=u1r^(-5/8)=3/8 (2)
--> (2)/(1)
u1r^(-5/8)/ u1r^2 =3/8 / 3
r^(-21/8) = 1/8
r = (-21/8)* root 1/8
But i don't know how to simplify it from there..
The answer said 1/root2
but i don't know how to get that
Help please?
thank you | 
November 7th, 2008, 11:45 PM
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| | Quote:
Originally Posted by juliak Question:
find the general term of Un which as
u3=3 and u9=3/8
--> i am looking for the common ratio atm and this is what i did
u3=u1r^2=3 (1)
u9=u1r^(-5/8)=3/8 (2)
--> (2)/(1)
u1r^(-5/8)/ u1r^2 =3/8 / 3
r^(-21/8) = 1/8
r = (-21/8)* root 1/8
But i don't know how to simplify it from there..
The answer said 1/root2
but i don't know how to get that
Help please?
thank you |  and  . Therefore:
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November 7th, 2008, 11:54 PM
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| | u9=a1r^-5/8?
how does u9=a1r^8? | 
November 7th, 2008, 11:58 PM
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Originally Posted by juliak u9=a1r^-5/8?
how does u9=a1r^8? | Didn't you say it's a geometric series.
You're expected to know that the nth term is given by  .
I have absolutely no idea where you're getting u9=a1r^-5/8 from.
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November 8th, 2008, 12:06 AM
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| | oh >_<
but umm i stil don't really get how to simplify
r^6 = 1/2^3
why do you have to change 8 to 2^3 and what do you do to continue simplifying it? | 
November 8th, 2008, 12:24 AM
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Originally Posted by juliak oh >_<
but umm i stil don't really get how to simplify
r^6 = 1/2^3
why do you have to change 8 to 2^3 and what do you do to continue simplifying it? | You should go back and review all the material (like index laws) that this question clearly implies you should already know.  .
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