What is the Pattern for Finding the Missing Number in a Sequence?

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Homework Help Overview

The discussion revolves around identifying a pattern for finding a missing number in a sequence, with participants exploring various mathematical approaches and reasoning related to sequences and number relationships.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants express confusion about how to approach the problem, with attempts including squaring, cubing, and summing numbers. Some question whether the solutions are based on random guessing or if there is a systematic method behind them.

Discussion Status

The discussion includes various interpretations of the problem, with some participants sharing their thought processes and initial attempts. There is a recognition of a potential pattern, but no consensus has been reached on a definitive method for solving the problem.

Contextual Notes

Some participants mention constraints related to their initial approaches, such as the limitations of addition and the need for further exploration of number relationships.

member 428835
Homework Statement
what's the missing number
Relevant Equations
nothing comes to mind
I have no idea. I've tried squaring, cubing, summing numbers but can't make sense of anything. Literally no clue how to even approach this aside from randomly adding and subtracting numbers, their squares and cubes, but nothing makes sense. Any ideas?

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1360
 
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fresh_42 said:
1360
But how? And how would I even go about doing this?
 
28=4*7=(1+3)*(5+2)
 
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anuttarasammyak said:
28=4*7=(1+3)*(5+2)
How on Earth did you know to do this? Just random guessing? What all did you check prior to this?
 
joshmccraney said:
Just random guessing?
Not really. The very first thing I tried, for all of about 5 seconds, was addition, which seemed a dead end. Then I noticed that in the first problem 5 and 2 added to 7, and 3 and 1 added to 4 -- 4 * 7 = 28. The pattern was the same for the second problem.
 
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Mark44 said:
Not really. The very first thing I tried, for all of about 5 seconds, was addition, which seemed a dead end. Then I noticed that in the first problem 5 and 2 added to 7, and 3 and 1 added to 4 -- 4 * 7 = 28. The pattern was the same for the second problem.
Makes sense, thanks.
 

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