Derive the nth term of a sequence

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Discussion Overview

The discussion revolves around deriving a general equation for the nth term of a sequence when provided with an equation for the sum to the nth term in terms of n. The focus is on exploring methods to extract individual terms from the sum.

Discussion Character

  • Exploratory, Homework-related

Main Points Raised

  • One participant asks how to derive a general equation for the nth term of a sequence given the sum to the nth term.
  • Another participant suggests using a discrete example to illustrate the process, specifically by expressing the fourth term in terms of the sums of the first four and three terms.
  • A repeated suggestion emphasizes the same method of finding the fourth term using the sums, indicating a focus on practical application.
  • There is a brief exchange questioning the understanding of the previous replies, indicating a lack of clarity or response from the original poster.

Areas of Agreement / Disagreement

The discussion does not reach a consensus, as participants express different levels of understanding and engagement with the problem posed.

Contextual Notes

There may be limitations in the clarity of responses and the assumptions made about the participants' familiarity with the topic, as well as the lack of specific examples or mathematical steps in the discussion.

Aceix
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How do i go about deriving a general eqn for the nth term of a sequence provided an eqn of the sum to the nth term is given in terms of n?
 
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Rather than give you the answer, try a discrete example. Think of it this way. I know:
Sum4 = a1+a2+a3+a4
and I know
Sum3 = a1+a2+a3 .

How would I find a4 in terms of Sum4 and Sum3?
 
phyzguy said:
Rather than give you the answer, try a discrete example. Think of it this way. I know:
Sum4 = a1+a2+a3+a4
and I know
Sum3 = a1+a2+a3 .

How would I find a4 in terms of Sum4 and Sum3?
 
Does your blank reply mean you don't know?
 
phyzguy said:
Does your blank reply mean you don't know?

i meant thanks.

Aceix.
 
OK. You're welcome.
 

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