What is the formula for predicting the next number in a sequence?

  • Context: Undergrad 
  • Thread starter Thread starter ArielGenesis
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Discussion Overview

The discussion revolves around predicting the next number in a given numerical sequence. Participants explore potential formulas and methods for deriving the next term based on the provided values.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant suggests that the next number in the sequence is 26970.
  • Another participant proposes a formula: a = (3n - 1) * (3n) * (3n + 1), starting with n = 0, as a method to generate the sequence.
  • A different participant describes a method involving a multiplication of numbers arranged in rows, detailing how they derived the sequence values through this approach.

Areas of Agreement / Disagreement

Participants present multiple competing views on how to predict the next number, with no consensus reached on a single method or formula.

Contextual Notes

Some methods rely on specific arrangements and multiplications of numbers, while others propose algebraic formulas. The discussion does not resolve the validity of these approaches or their assumptions.

ArielGenesis
Messages
238
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24
210
720
1716
3360
5814
9240
13800
19656

what's the next number
 
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He-he. It's 26970
 
a = (3n - 1) * (3n) * (3n + 1), starting with n = 0
 
Last edited:
yeah youre right
there are actually a formula into it, i never realize that
-1 0 1
2 3 4
5 6 7
8 9 10
11 12 13
14 15 16
17 18 19
20 21 22
23 24 25

this is how i did it and i multiply them each row
and result in this

-1 0 1 0
2 3 4 24
5 6 7 210
8 9 10 720
11 12 13 1716
14 15 16 3360
17 18 19 5814
20 21 22 9240
23 24 25 13800
26 27 28 19656

where the fourth coloumn is equal to the multipication of all the number in the row.
 

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