What Could Be the Missing Number?

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The discussion revolves around a mathematical sequence where the values are 1=5, 2=25, 3=125, and 4=625, leading to the question of what 5 equals. The consensus suggests that 5 should equal 3125, following the pattern of powers of 5. However, participants acknowledge the ambiguity in the sequence, noting that with only four terms, it is difficult to draw definitive conclusions. The playful assertion that "1=5" leads to contradictions, implying that if one value can equal another arbitrarily, it undermines the validity of the sequence. Overall, while 3125 seems to be the logical answer, the discussion highlights the complexities and potential contradictions in mathematical reasoning.
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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