Understanding Geometric Sequences with ln

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Homework Statement



http://img16.imageshack.us/img16/2327/nummer1.jpg

Homework Equations


Sn=(u1(rn-1))/(r-1)

The Attempt at a Solution


I think i need to use the equation for geometric series(above). Or do i use the arithmetic furmula since ln(a/b)=ln(a)-ln(b). I think i am a bit confused...
 
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Hint: Simplify the sum using ln(a)+ln(b)=ln(a*b). You will not need the geometric series.
 
ohh, i get it. The the answer is ln(x70/y34)
Right?
Thanks for the help! you are great!:wink:
 
hostergaard said:
ohh, i get it. The the answer is ln(x70/y34)
Right?
Thanks for the help! you are great!:wink:

Well, in the denominator you should have y*(y^2)*(y^3)*...*(y^34)=y^595. Here I am using the formula 1+2+3+...+n=n(n+1)/2.
Glad I could help. :smile:
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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