- #1
daskalou
- 9
- 0
Find the next number in the sequence:
61, 115, 771, 4129, 15649
61, 115, 771, 4129, 15649
Next number: 61, 115, 771, 4129, 15649, ?
- Context: Undergrad
- Thread starter daskalou
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Discussion Overview
The discussion revolves around identifying the next number in a mathematical sequence: 61, 115, 771, 4129, 15649. Participants explore various methods and reasoning to deduce the next term in the series.
Discussion Character
- Exploratory, Mathematical reasoning
Main Points Raised
- One participant suggests the next number could be 11111, though this is presented as an "obvious answer."
- Another participant praises a contributor for their insight, indicating some level of agreement or recognition of a correct approach.
- A participant describes their method of intuition and trial and error, comparing the original sequence to other sequences and analyzing differences, suggesting a complex reasoning process involving arithmetic progression.
- The use of mental arithmetic and spreadsheets is mentioned as part of the exploratory process, highlighting the iterative nature of their approach.
Areas of Agreement / Disagreement
The discussion contains multiple viewpoints, with no clear consensus on the next number in the sequence. Participants have differing approaches and suggestions, indicating an unresolved nature of the inquiry.
Contextual Notes
Participants rely on various mathematical functions and sequences, but the specific assumptions or definitions they use are not fully articulated. The reasoning involves trial and error, which may introduce uncertainty in the proposed solutions.
Who May Find This Useful
Individuals interested in mathematical sequences, pattern recognition, and problem-solving strategies may find this discussion relevant.
- #2
Borek
Mentor
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Apart from the obvious answer of 11111...
46671
- #3
daskalou
- 9
- 0
The man with the green hair is correct. Well done Borek! :)
How did you figure it out?
How did you figure it out?
- #4
Borek
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Intuition and trial and error. I started comparing original sequence with others - like nx and xn, observing the difference - too much here, not enough here, too fast, too slow, guessing what kind of function differences are and creating new sequences from those powers and those functions... and at some point differences between my sequence and original sequence were in arithmetic progression. Ability to do menthal arithmetic helped at this point enormously 
although most of the trial and error was done with spreadsheet. Somewhere between 5 and 10 minutes.
although most of the trial and error was done with spreadsheet. Somewhere between 5 and 10 minutes.Similar threads
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