frequency modulation is non linear due to cross over term.
There are infinitely many possible answers. Given ANY number, it is always possible to find a polynomial of order 5 [at most] that can be used as the nth term rule for the given five number and the additional sixth. There are also non-polynomial solutions. Each different sixth number will result in a different polynomial and, since there are infinitely many sixth numbers, there are infinitely many answers to the question. Having said that, the simplest polynomial solution is Un = 9n - 2
It is possible to give an example of non-linear, but I have no idea what a non-example is. Is a non-example of linear a curve. That would be my first thought but not sure
Linear
If you mean y = 4x+2 then it is the linear equation of a straight line
If the sequence is non-linear, you need to establish how it is defined.
"Non-linear sequence" is a generic term for just about ANY sequence, each of which will have a different equation.
There is no set equation for finding the nth term of a non- linear sequence. You have to go through a procedure to find the equation suitable for your given sequence. You would have to post the equation itself or re phrase your question for the answer.
A linear equation/term is where the differences in a sequence of numbers is irregularExample:n 1 2 3 4 5 6 7 8linear 3 5 7 9 11 13 15 17Difference 2 2 2 2 2 2 2n 1 2 3 4 5 6 7 8non-linear 2 5 10 17 26 37 50 65Difference 3 5 7 9 11 13 15In this example the nth term for the linear sequence is 2n + 1 and for the non-linear sequence n squared + 1. Another way of seeing this is to make a line on a graph where the equation for the line is Y= 2X + 1 (replace n with X and put 'Y=' at the beginning) and this line will be straight as it's equation is LINEar whereas a non-LINEar equation will make a curve and not a line.
Any number that you choose can be the nth number. 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 the chosen number in the nth position. 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.For example, U(n) = (3*n^4 - 30*n^3 + 105*n^2 - 126*n - 120)/4 gives the next number as 0orU(n) = (19*n^4 - 190*n^3 + 665*n^2 - 806*n - 696)/24 gives the next number as 1and so on.The simplest solution, though, based on a polynomial of order 3 is U(n) = 6*(x - 8)
frequency modulation is non linear due to cross over term.
There are infinitely many possible answers. Given ANY number, it is always possible to find a polynomial of order 5 [at most] that can be used as the nth term rule for the given five number and the additional sixth. There are also non-polynomial solutions. Each different sixth number will result in a different polynomial and, since there are infinitely many sixth numbers, there are infinitely many answers to the question. Having said that, the simplest polynomial solution is Un = 9n - 2
Non-linear
non linear
To find the nth term in this sequence, we need to analyze the differences between consecutive terms. The differences are 12, 20, 28, 36, and 44 respectively. These differences are increasing by 8 each time. This means the sequence is following a pattern of adding consecutive odd numbers starting from 3. Therefore, the nth term can be calculated using the formula: nth term = 1 + (n-1) * 3 + 2(n-1)(n-2).
non-linear
Usually non-linear.Usually non-linear.Usually non-linear.Usually non-linear.