There are infinitely many polynomials of order 6 that will give these as the first six 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.
The simplest solution, based on a polynomial of order 5 is:
U(n) = (32*n^5 - 440*n^4 + 2360*n^3 - 6010*n^2 + 7133*n - 3070)/5.
4567
That series is the cubes of the counting numbers.
It is not a rule as such; those number are the first 10 prime numbers.
One rule for this pattern is to add twice the previous value added 4 + 1 = 5 5 + 2×1 = 5 + 2 = 7 7 + 2×2 = 7 + 4 = 11 11 + 2×4 = 11 + 8 = 19 Continuing the next numbers would be: 19 + 2×8 = 19 + 16 = 35 35 + 2×16 = 35 + 32 = 67 ...
a recursive pattern is when you always use the next term in the pattern... for example 4,(x2+1) 9,(x2+1) 19,(x2+1) 39,(x2+1) 79,(x2+1) 159
4567
18 with remainder 19.
from 12 to 16 is 4 then from 16 to fiftine is one then from15-19 is 4 so one so forth one is +4 the next is -1
You could write it as a mixed number: 9 19/50 or as an improper fraction: 469/50
That series is the cubes of the counting numbers.
It is not a rule as such; those number are the first 10 prime numbers.
One rule for this pattern is to add twice the previous value added 4 + 1 = 5 5 + 2×1 = 5 + 2 = 7 7 + 2×2 = 7 + 4 = 11 11 + 2×4 = 11 + 8 = 19 Continuing the next numbers would be: 19 + 2×8 = 19 + 16 = 35 35 + 2×16 = 35 + 32 = 67 ...
The fraction form of 9.38 is 469/50 or 9 and 19/50.
Rule of Rose was created on 2006-01-19.
a recursive pattern is when you always use the next term in the pattern... for example 4,(x2+1) 9,(x2+1) 19,(x2+1) 39,(x2+1) 79,(x2+1) 159
Let Love Rule was created on 1989-09-19.
"Tuts" rule ended when he died at the age of 19, from an infection he caught from fracturing his knee