Estimating Sums of Alternating Series help

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Homework Help Overview

The discussion revolves around estimating sums of an alternating series, specifically focusing on determining the error bound related to the series. Participants are examining the conditions under which the error, denoted as bn+1, is less than a specified value of 0.008.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants are attempting to clarify the conditions for bn+1 in relation to the error bound. Questions are raised about the nature of n as a natural number and whether it can be a non-integer. There is also a focus on understanding the implications of the Alternating Series Estimation Theorem.

Discussion Status

The discussion is ongoing, with participants seeking clarification on specific conditions and definitions. Some guidance has been provided regarding the interpretation of the problem statement and the theorem, but no consensus has been reached on the approach to determining bn+1.

Contextual Notes

Participants note the importance of adhering to the problem's requirements regarding n being a natural number and the implications this has on the solution process. There is an emphasis on ensuring the error is less than 0.008 as stated in the problem.

Slimsta
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Homework Statement


[PLAIN]http://img696.imageshack.us/img696/3438/46981606.jpg


Homework Equations





The Attempt at a Solution


in those squars, I am sure about everything that i did and i get it wrong..
the only thing i don't know is bn+1 how would i know if its =, < or > than 0.008 ?

once i know that, everything else just follow it..
 
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someone please?
 
i haven't checked your working, but doesn't it ask for n as "an integer"?
 
Slimsta said:

The Attempt at a Solution


in those squars, I am sure about everything that i did and i get it wrong..
the only thing i don't know is bn+1 how would i know if its =, < or > than 0.008 ?

once i know that, everything else just follow it..


First, note that n is supposed to be NATURAL NUMBER. So can n have trailing digits after the decimal place? As for whether you should have =, <, or >... reread both the problem statement (the error should be less than .008) as well as the Alternating Series Estimation Theorem (consider the relationship between b_{n+1} and the error).
 

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