Understanding Geometric Sequences with ln

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    Geometric Ln
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Homework Help Overview

The discussion revolves around understanding geometric sequences and their relation to logarithmic expressions. Participants are examining how to simplify a sum involving logarithms and whether to apply the formula for geometric series or arithmetic properties of logarithms.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • The original poster attempts to determine the appropriate formula to use for the problem, expressing confusion between geometric and arithmetic approaches. Some participants suggest simplifying the logarithmic expression instead of using the geometric series formula.

Discussion Status

Participants are actively engaging with the problem, with hints provided to guide the simplification process. There is an indication of understanding from some participants, but no explicit consensus on the final answer has been reached.

Contextual Notes

There is a reference to a specific formula for summing integers, which may influence the interpretation of the problem. The original poster's confusion about the application of different mathematical principles is noted.

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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:
 

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