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
That series is the cubes of the counting numbers.
You could write it as a mixed number: 9 19/50 or as an improper fraction: 469/50
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.
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
Rule of Rose was created on 2006-01-19.
The pattern rule for the sequence 3, 19, 99, 499, 2499 is that each term is obtained by multiplying the previous term by 5 and then adding 4. This can be represented by the formula ( a_n = 5a_{n-1} + 4 ), where ( a_n ) represents the nth term in the sequence. So, for example, starting with 3, the next term would be ( 5 \times 3 + 4 = 19 ), and so on.
Let Love Rule was created on 1989-09-19.