Find nth Term of Arithmetic Progression Sequence

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Homework Help Overview

The discussion revolves around finding the number of terms in a given arithmetic progression sequence: 212, 179, 146, 113, and so forth. Participants are exploring the implications of the sequence's structure and the requirements of the problem statement.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the initial values of the sequence, noting the first term and common difference. Questions arise regarding the completeness of the problem statement, specifically whether it asks for the nth term, the sum of terms, or the number of positive terms. Some express uncertainty about the feasibility of determining a finite number of terms.

Discussion Status

The discussion is ongoing, with participants questioning the clarity of the problem statement and the assumptions surrounding it. Some suggest that the sequence could theoretically continue indefinitely, while others express skepticism about the problem's solvability as presented.

Contextual Notes

There is mention of potential issues with the problem's wording, possibly due to translation or printing errors, which may affect participants' understanding of the task at hand.

lionel messi.
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find no. of terms...

Homework Statement
find n
212,179,146,113,......

3. The Attempt at a Solution
here a=212 d=-33 but nth term or the sum is not given.any help will be appreciated thanks
 
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lionel messi. said:
Homework Statement
find n
212,179,146,113,......

3. The Attempt at a Solution
here a=212 d=-33 but nth term or the sum is not given.any help will be appreciated thanks


The problem statement is not complete. Are they asking you to find the nth term of the arithmetic progression, or its sum to n terms? Or something else?
 


If it's asking to find the number of terms, then it could possibly mean to find the number of terms that are positive? Because clearly this sequence can go on forever.
 


the question demands the no. of terms only..it seems impossible to solve...:/
 


Did you copy this question verbatim from what a teacher said/wrote on the board or do you actually have the physical question in front of you?
 


lionel messi. said:
the question demands the no. of terms only..it seems impossible to solve...:/

Well you could have found the general term :

Tn = a+(n-1)d

but n is not given !

Now your limit isn't specified ! This arithmetic progression can go on forever. However we know that its sum will be less than 0.

But its unending ! So if seriously this is your question then answer will be that number of terms are infinite.
 


the question above is as stated as in my book..
 


lionel messi. said:
the question above is as stated as in my book..

I'm guessing that the book is not written in English. Is it possible that something got lost in the translation?
 


it might be but during printing not translation.the book is in english...!
 
  • #10


What is the title of the book, then? Where is the problem in the book?
 

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