answersLogoWhite

0

There are infinitely many pattern rules. It is easy to find a rule based on a polynomial of order 4 such that the first four numbers are as listed in the question followed by any number that you choose to be the next one. 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 3 is

t(n) = 1.5*(-n^3 + 12n^2 - 26n + 21) for n = 1, 2, 3, ...

User Avatar

Wiki User

10y ago

What else can I help you with?

Related Questions

What is the rule of the pattern 1 4 16 64?

Multiply each preceding term by 4.


What is the pattern rule for this pattern 12-16-15-19?

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


What is the rule for the pattern 1 2 4 8 16?

Double the previous number


What is the rule of the pattern 1 4 9 16 25?

consecutive square numbers


What is the rule to this pattern100=51 , 6=4. , 30=16?

r=5>7}2


What is the pattern rule for 4-6-10-18-30-42-60 pattern?

4*2-2=6 6*2-2=10


What number comes next in this pattern 4 2 8 12 10?

The rule of this pattern is -2 + 6 +4 so the next number would be 16.


What is the pattern rule for this pattern 1-2-4-7-11-16?

Everytime you move to the next number you add 1, then 2, then 3, etc.1+1=22+2=44+3=77+4=1111+5=1616+6=2222+7=2929+8=37


What is the pattern rule for 4 -4 4 -4 pattern?

The rule is multiply the previous term by -1 to find the next term.


Using subtraction What patteren rule for 128 16 4?

The pattern rule for the numbers 128, 16, and 4 can be identified through subtraction. Subtracting each subsequent number from the previous one shows a consistent decrease: 128 - 112 = 16 and 16 - 12 = 4. Each number is a result of subtracting a multiple of 4 from the previous number, specifically, 4 times a decreasing sequence (32, 4). Thus, the pattern can be described by subtracting a progressively smaller multiple of 4 to generate the next number.


What's a pattern for the rule a + 4?

4 8 12 16 20 24 28 32 36 40 44 48 52 56 60


What is the rule for 1 4 9 16?

1, 4, 9, 16, ......., (n squared),