Brain Teaser: What Do These Sequences Have in Common?

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The discussion centers around identifying commonalities in three numerical sequences. Key points include that all sequences are simple and consist of integers. Participants note that each sequence contains the digits "201" when concatenated. Additionally, the odd-numbered entries of each sequence are odd, and a specific calculation involving the concatenated digits yields a consistent total of 42. The number seven is mentioned as a potential common factor, but its relevance to the third sequence is questioned. Overall, the conversation emphasizes the mathematical properties and patterns within the sequences.
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1,8,15,22,29,36,...

49,343,2401,....

77,74,71,68,65,....

What do all these sequences have in common?
 
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The digit 1
:smile:
 
Well, they're all simple sequences...

n=(n-1)+7
n=(n-1)x7
n=(n-1)-3
 
- All of the numbers in the sequences are integers.
- If you concatenate the digits of the sequences, each one has the digits "201".
- Each sequence's odd-numbered entries are odd.
- If you concatenate the digits of each sequence, and add the 25th through 35th digits, you'll get the same total, 42.

DaveE
 
The number 7?
 
sigh.

Commas, ellipses and integers.

Asked & answered.

math_04: we've given answers that have met the criteria. Either grant us a win or tell us there's a better answer than the ones we've provided.
 
I guess its the number seven and the digits being integers. Am I getting the right answer to the teasers?





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tease your eyes
 
I don't see what 7 has to do with the third sequence.
 
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