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There are infinitely polynomials of order 5 that will give these as the first five numbers and any one of these could be "the" rule. There are also non-polynomial solutions. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.

However, the simplest rule here is

t(n) = n*(n+1) for n = 1, 2, 3, ...

Another Answer: nth term = n^2+n whereas n is the term number

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Q: What is the rule of 2 6 12 20 30?
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Related questions

What is the rule to the pattern 0 2 6 12?

It looks like it could be: 0 + 2 = 2 2 + 4 = 6 6 + 6 = 12 The next logical answers would be: 12 + 8 = 20 20 + 10 = 30 30 + 12 = 42 And so on...


The nth term for 12 20 30 42 56 72?

The difference between the terms increases by 2 each time. 20-12=8 30-20=10 42-30=12 56-42=14 ... f(n)=(n+2)(n+3)


What is the function rule if x is 1 2 3 4 5 and y is 2 6 12 20 30?

y = x(x + 1)


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5-30-6-42-7-56-8-72


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A = 2(20*30) + 2(20*12) + 2(30*12) = 2(600 + 240 + 360) = 2*1,200 = 2,400 in2


What is 30 in the ratio 2 to 2 to 1?

12 : 12 : 6 30 = (12x2) + (6x1) so ratio will be 12 : 12 : 6 = 2 : 2 : 1


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60 to 30 _ -1/2 30 to 20 _ -1/3 20 to 15 _ -1/4 15 to 12 _ -1/5 12 - (12*1/6) = 10


What is the greatest common factor of 12 20 and 30?

The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 20 are 1, 2, 4, 5, 10, and 20. The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30. The greatest factor they all have in common is 2.


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12, 18, 20, 24, 30


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Select number series 60 30 20 15 12?

1/2, 2/3. 3/4, 4/5, 5/6 1/2 of 60 = 30 2/3 of 30 = 20 3/4 of 20 = 15 4/5 of 15 = 12 5/6 of 12 = 10 The next number is 10


What is thLCMof 2 6 and 10?

2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30 6: 6, 12, 18, 24, 30 10: 10, 20, 30 LCM = 30