It can be any polynomial rule with integer coefficients in which there are an even number of odd coefficients.
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The first ten odd numbers
The pattern is... add 7 then subtract 4. The next two numbers would be 45 & 41.
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.
prime numbers
Check the differences between consecutive numbers.
The first ten odd numbers
It is not a rule as such; those number are the first 10 prime numbers.
a law!
The pattern is... add 7 then subtract 4. The next two numbers would be 45 & 41.
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.
Each number is decreasing by half.
prime numbers
Hopefully, one of the rules is to put spaces between the numbers so we can discern a pattern.
Check the differences between consecutive numbers.
Homework question: The first numbetr is 4. A rule is multiply by 2 and then subtract 3. What are the first 6 numbers in the pattern
Either the pattern that is given is riddled with errors or it is an extremely complex pattern. The best that I can do is the polynomial of degree 6 as the power of ten. Thus, the nth term is 10Un where Un = 0.0083333n6 - 0.2076923n5 + 1.9855769n4 - 9.1139278n3 + 20.3854604n2 - 20.2990094n + 9.25 and even that is only an approximate fit.
consecutive square numbers