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 (n>4). 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.
A solution, based on a polynomial of order 2, is
U(n) = n^2 - 1.
The nth term in this sequence is 4n + 3.
The nth term is 18 -3n and so the next term will be 3
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.
Each term after the first is found by multiplying the previous term by 5. This idea can expressed as follows: a0 = 3 an = 5an-1 for n > 0. You can solve this recurrence to get the closed form , an=(3)5n , n >= 0,
2n + 1
Oh, what a beautiful sequence of numbers you've created! To find the pattern, we can see that each number is increasing by adding consecutive odd numbers. The nth term for this sequence can be found using the formula n^2 + n. Just like painting, sometimes all we need is a little patience and observation to uncover the hidden beauty within patterns.
The nth term in this sequence is 4n + 3.
If you mean: 15 11 7 3 then the nth term is 19-4n
The nth term is 18 -3n and so the next term will be 3
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
It is: nth term = 5-4n and so the next term will be -19
The nth term is 4n-1 and so the next term will be 19
n-9+3
n - 1
after -9 it is -15 then -21, -27 and the ninth is -36
The nth term is: 5-2n
The nth term for that arithmetic progression is 4n-1. Therefore the next term (the fifth) in the sequence would be (4x5)-1 = 19.