I have a question regarding some steps in a solution

  • Context: Undergrad 
  • Thread starter Thread starter mendem03
  • Start date Start date
Click For Summary

Discussion Overview

The discussion revolves around the steps in a mathematical solution involving powers of two. Participants are examining the transition between steps in an algebraic manipulation and seeking clarification on specific transformations and notations.

Discussion Character

  • Mathematical reasoning

Main Points Raised

  • Post 1 presents a sequence of steps in a solution but expresses confusion about the transitions between steps 2 and 3.
  • Post 2 asserts that step 2 is a simplification but questions the correctness of step 3, asking for clarification.
  • Post 3 requests additional context regarding the original problem to better understand the solution steps.
  • Post 4 interprets the expression in step 3 and suggests a further simplification, indicating a potential next step.
  • Post 5 emphasizes the need for clearer notation, particularly regarding the placement of parentheses in the expression to avoid ambiguity.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the correctness of step 3, and there is ongoing uncertainty regarding the clarity of the expressions used. Multiple viewpoints on the interpretation of the steps remain present.

Contextual Notes

There is a lack of clarity regarding the original problem that the solution is addressing, which may affect the understanding of the steps involved. Additionally, the notation used in the expressions has been pointed out as potentially ambiguous.

mendem03
Messages
14
Reaction score
0
Question 1
step 1
=(2^n-1)/2^n + 1/2^(n+1)
step 2
=2(2^n-1)/2^(n+1) + 1/2^(n+1)
step 3
=2^(n +1)-2+1/2^(n+1)
I don't know how steps 2 and 3 where achieved
can someone please help me
 
Physics news on Phys.org
Step 2 is simply 1/2n = 2/2n+1.

Step 3 doesn't look right. Could you clarify the expression?
 
It would help if you told us what the problem is that this is supposed to be the solution to!
 
2^(n +1) -2+1 / 2^(n+1)
this just means that: 2 to the power of (n+1) -2+1 divided by 2 to the power of (n+1)
the next step is
2^(n +1) -1 / 2^(n+1)
 
2 to the power of (n+1) -2+1

You need to put in parentheses. It is not clear what -2 and +1 relate to.
 

Similar threads

  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 1 ·
Replies
1
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 16 ·
Replies
16
Views
4K
  • · Replies 6 ·
Replies
6
Views
4K
  • · Replies 15 ·
Replies
15
Views
3K
  • · Replies 11 ·
Replies
11
Views
3K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 14 ·
Replies
14
Views
3K