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, ...
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
4*2-2=6 6*2-2=10
The rule of this pattern is -2 + 6 +4 so the next number would be 16.
The rule is multiply the previous term by -1 to find the next term.
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.
Multiply each preceding term by 4.
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
Double the previous number
consecutive square numbers
r=5>7}2
4*2-2=6 6*2-2=10
The rule of this pattern is -2 + 6 +4 so the next number would be 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
The rule is multiply the previous term by -1 to find the next term.
4 8 12 16 20 24 28 32 36 40 44 48 52 56 60
1, 4, 9, 16, ......., (n squared),
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.