What is the Pattern in this Sequence?

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Discussion Overview

The discussion revolves around identifying the next number in a given sequence: 7, 16, 25, 34, 43, 52, 61, 70, 77, 106. Participants explore potential patterns and reasoning behind the sequence, including arithmetic properties and alternative representations.

Discussion Character

  • Exploratory, Debate/contested, Mathematical reasoning

Main Points Raised

  • Some participants note that the sequence starts as a clear arithmetic progression but then diverges with the last number, 106, leading to confusion.
  • One participant suggests that the next number could be 115, indicating a possible resolution to the sequence challenge.
  • Another participant proposes that the pattern involves adding 7 in octal representation, supporting the idea that the next number is also 115.
  • Some participants express uncertainty about the sequence, with one questioning if the next number ends with a 5.

Areas of Agreement / Disagreement

There is no consensus on the next number in the sequence, although multiple participants suggest 115 as a potential answer. The reasoning behind the sequence remains contested, with different interpretations presented.

Contextual Notes

Participants have not fully resolved the underlying assumptions about the sequence, and there may be dependencies on interpretations of numerical representation (e.g., octal). The discussion reflects varying levels of confidence in the proposed solutions.

holomorphic
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What is the next number?.

7, 16, 25, 34, 43, 52, 61, 70, 77, 106...?
 
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Wow, that makes no sense. It starts of as a nice, clean arithmetic sequence. And at the end it goes on doing strange things...

I guess I need to think some more about it...


Does the next number end with a 5?
 
holomorphic said:
What is the next number?.

7, 16, 25, 34, 43, 52, 61, 70, 77, 106...?

Bah. Saw it right away.

There are a few possible answers, but best answer is 115.
 
Ah, I get it now :smile:

Is it 115?
 
I think I get it. Is it adding 7 to the number in octal representation, so that the next number would be 115?
 
DaveC426913 said:
Bah. Saw it right away.

There are a few possible answers, but best answer is 115.

Yep. Sorry if it was too easy! =P
 

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