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After the initial number 3, the next number is generated by adding the square of numbers increasing by one at each step and starting with 12.
3 + 12 = 4
4 + 22 = 8
8 + 32 = 17
17 + 42 = 33....and so on
The series formula is U(n) = n3/3 - n2/2 + n/6 + 3, which can also be written as :-
3 + n/6(2n2 - 3n + 1) = 3 +n/6(2n - 1)(n - 1)
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What is the pattern rule for this pattern 24102882?
A single number, such as 24102882, does not establish a pattern!
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A pattern rule is a mathematical expression that describes the relationship between the input and output values in a sequence or pattern. In the context of the number -4, it could represent a pattern rule where each successive number is decreased by 4. For example, if the pattern rule is -4, the sequence could be 10, 6, 2, -2, and so on, where each number is 4 less than the previous one.
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