What Could Be the Missing Number?

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Discussion Overview

The discussion revolves around a sequence of numbers where participants are attempting to determine the next number based on the pattern established by the previous terms. The scope includes mathematical reasoning and speculative interpretations of the sequence.

Discussion Character

  • Exploratory
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • Some participants propose that the next number in the sequence is 3125, based on the pattern of powers of 5.
  • Others express uncertainty, noting that with only four terms, it is difficult to definitively determine the next number, suggesting alternative sequences could exist.
  • One participant highlights that if "1 = 5," it could imply a broader range of interpretations, leading to contradictions.
  • Another participant reiterates the idea that the sequence could be cyclical or follow a different pattern altogether, emphasizing the ambiguity in the initial statement.

Areas of Agreement / Disagreement

Participants generally agree that 3125 is a plausible next number based on the observed pattern, but multiple competing views remain regarding the validity of the sequence and its implications.

Contextual Notes

There are limitations in the assumptions made about the sequence, particularly regarding the interpretation of the initial statement "1 = 5" and its potential contradictions. The discussion does not resolve these ambiguities.

Who May Find This Useful

Readers interested in mathematical sequences, pattern recognition, and the implications of unconventional equations may find this discussion relevant.

mabs239
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Sorry if it looks too foolish...

1=5
2=25
3=125
4=625
5=?
 
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I would say 3125 and it's a no-brainer, although it's hard to tell based on finitely many terms :smile:
 
I assume it's 5^5, so 3125.
 
Then again, if 1 = 5 it can be anything :)
 
CompuChip said:
Then again, if 1 = 5 it can be anything :)

Yeh, 1=5 and 5=1 ;)
 
3125 right? or is this a no brainer
 
So in summary:
- First one could remark that based on 4 terms, it is hard to say something. The sequence might be 5, 25, 125, 625, 125, 25, 5, 25, ... for all we know.
- Anyway, looking at the sequence 5, 25, 125, 625 one would expect 3125.
- Looking at the first line, "1 = 5", one would say that "5 = 1"
- But then one could counter this semi-mathematical argument by a rigorous one, saying that if 1 = 5 then we have a true contradiction, hence we can show that 5 is equal to anything we like.
 

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