Understanding U_n: An Explanation of the Concept

  • Thread starter Thread starter synkk
  • Start date Start date
Click For Summary

Homework Help Overview

The discussion revolves around understanding the notation U_n, which represents a sequence of numbers. Participants are exploring the concept of sequences and their summation, as well as related functions.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to clarify the meaning of U_n and its relation to sequences. Questions are raised about how to derive values from a given function and the implications of subtracting sums of sequence elements.

Discussion Status

The discussion is ongoing, with some participants providing guidance on how to approach the problem. There are multiple lines of reasoning being explored, particularly regarding the relationship between U_n and functions of n.

Contextual Notes

Participants are encouraged to complete preliminary steps before delving deeper into the problem, indicating a structured approach to the homework task.

synkk
Messages
216
Reaction score
0
161i8a0.png


Could anyone explain what is meant by [tex]U_n[/tex]
 
Physics news on Phys.org
It are just numbers. That is, [itex]U_1,...,U_n[/itex] are just numbers. You need to figure out which numbers they are.
 
Hi synkk
The wording is probably confusing you.
First, did you do (a) ? do it if you didn't

Then, as micromass told you, Un is just a number, well, in this case, you are dealing with a sequence of numbers, U1, ... Un
You have a generic formula for their sum, which is a function of n, being the result of summing the n elements U1,...Un
so, if you subtract the sum of all the elements, U1,...Un-1, what are you left with ?
Hope this helps so that you continue alone

Cheers...
 
Another way of looking at (a): if you were told that f(n)= n^2+ 4n, how would you find f(n-1)?

Then (b), what is f(n)- f(n-1)?
 

Similar threads

Understanding U_n: Solving Series Questions with Two Summations
  • · Replies 6 ·
Replies
6
Views
2K
MHB Why is $U_n$ greater than $\frac{A}{n}$ for large enough values of $n$?
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Understanding the ##ε## as used in limits of sequences
  • · Replies 2 ·
Replies
2
Views
3K
Graduate How Do Series Converge in Normed Spaces?
  • · Replies 5 ·
Replies
5
Views
2K
What Is the Distribution of \( n \times \min(U_1, \dots, U_n) \)?
  • · Replies 1 ·
Replies
1
Views
3K
MHB Success runs in Bernoulli trials
  • · Replies 1 ·
Replies
1
Views
2K
MHB Solve Periodic Problem: Find Function $u \in C^2(\mathbb{R})$
  • · Replies 2 ·
Replies
2
Views
2K
Derivation of completeness relation from Jackson's Classical Electrody
  • · Replies 15 ·
Replies
15
Views
2K
MHB Understanding Direct Products of Vector Spaces: Cooperstein's Example 1.17
  • · Replies 5 ·
Replies
5
Views
3K
Undergrad Characterizing linear independence in terms of span
  • · Replies 3 ·
Replies
3
Views
2K