Find nth Term of Arithmetic Progression Sequence

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We need more information in order to understand the problem and help you.In summary, the problem asks to find the number of terms in the given sequence, which is 212, 179, 146, 113, .... The question does not specify whether it is asking for the number of terms in a finite or infinite sequence. It is not possible to solve for the number of terms without additional information.
  • #1
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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  • #2


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?
 
  • #3


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.
 
  • #4


the question demands the no. of terms only..it seems impossible to solve...:/
 
  • #5


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?
 
  • #6


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.
 
  • #7


the question above is as stated as in my book..
 
  • #8


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?
 
  • #9


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?
 

FAQ: Find nth Term of Arithmetic Progression Sequence

How do I find the nth term in an arithmetic progression sequence?

To find the nth term in an arithmetic progression sequence, you can use the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, and d is the common difference between each term.

What is an arithmetic progression sequence?

An arithmetic progression sequence is a sequence of numbers where each term is obtained by adding a constant value to the previous term. This constant value is known as the common difference.

How do I identify an arithmetic progression sequence?

To identify an arithmetic progression sequence, you can check if the difference between any two consecutive terms is the same. If it is, then the sequence is an arithmetic progression.

What is the importance of finding the nth term in an arithmetic progression sequence?

Finding the nth term in an arithmetic progression sequence is important because it allows you to predict any term in the sequence without having to list out all the previous terms. This can be useful in various mathematical and scientific applications.

Can the nth term in an arithmetic progression sequence be negative?

Yes, the nth term in an arithmetic progression sequence can be negative. This can occur if the first term is negative and the common difference is also negative.

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