I want check A , B in two questions .

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Homework Help Overview

The discussion revolves around two questions related to series, specifically focusing on the grand canyon question and another question that involves an arithmetic series. Participants are evaluating the correctness of the original poster's attempts at solving these problems.

Discussion Character

  • Mixed

Approaches and Questions Raised

  • Some participants point out errors in the original poster's calculations, suggesting a re-evaluation of the series summation. Others question the classification of the second question as an arithmetic series due to the inconsistency in the differences between terms.

Discussion Status

The discussion includes feedback on specific parts of the questions, with some participants providing guidance on checking calculations and the reasonableness of answers. There is acknowledgment of misunderstandings, but no explicit consensus has been reached regarding the solutions.

Contextual Notes

Participants note the importance of verifying the application of formulas and the assumptions made in defining the series. There is a mention of homework constraints, particularly regarding the need for accuracy in calculations.

r-soy
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Hi all

I want check A , B in two questions .
 

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In the grand canyon question, part a) was done correctly but b) was not. Try summing the series again.

The next question is completely wrong, its not even an arithmetic series because the difference of consecutive terms is not constant. Try again.
 
You used the formula in part 1B incorrectly. And please, I can't stress enough how important it is to check if your answer seems reasonable.

The formula for a sum of an arithmetic series:

S_n=a+(a+d)+(a+2d)+...+(a+(n-1)d)=\frac{n}{2}\left(2a+(n-1)d\right)

Since you're looking for the distance traveled in 9 seconds, you're looking for S_9. You substituted n=T_9 rather than n=9.

And honestly, look at how ridiculous your answer seems: 15+45+75+...+255 = 975,375

So a penny falls 1 million feet in 9 seconds?
 
Thanks

Now I understand
 
Last edited:

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