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

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The discussion revolves around a numerical sequence and the identification of the next number, which is determined to be 26,970. The sequence is derived from a formula: a = (3n - 1) * (3n) * (3n + 1), starting with n = 0. Participants explore how to calculate the values by organizing numbers into rows and multiplying them to produce results in a fourth column. Each row contains three consecutive integers, and the multiplication of these integers generates the corresponding values in the sequence. The method of deriving the sequence through multiplication is emphasized, showcasing a structured approach to finding the next number in the series.
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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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