Any number that you choose can be the nth number for any given n. 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 and the nth is the chosen next number. 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 soution, based on a polynomial of order 3, is
t(n) = (n^2 - 3*n + 2)/2 or (n - 1)*(n - 2)/2 for n = 1, 2, 3, ...
n - 1
The nth term is: 5-2n
7 - 4n where n denotes the nth term and n starting with 0
This is the Fibonacci sequence, where the number is the sum of the two preceding numbers. The nth term is the (n-1)th term added to (n-2)th term
n-9+3
n - 1
The nth term is: 5-2n
7 - 4n where n denotes the nth term and n starting with 0
This is the Fibonacci sequence, where the number is the sum of the two preceding numbers. The nth term is the (n-1)th term added to (n-2)th term
n-9+3
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 of the sequence is 2n + 1.
It is: nth term = 5-4n and so the next term will be -19
If you mean -1 3 7 11 15 then the nth term is 4n-5 and so the next term will be 19
The nth term is 4n-1 and so the next term will be 19
The pattern for the sequence 0 0 1 3 6 is that each term is obtained by adding the previous term multiplied by its position in the sequence (starting from 1). In other words, the nth term is given by n*(n-1)/2.
an^3 bn^2+cn+d=E(n) where E(n) is the value of the nth term and a,b, c and d are constants. So we have: a+b+c+d=1 8a+4b+2c+d=0 27a+9b+3c+d=3 64a+16b+4c+d=8 Then work it out from there. Assuming the first term was supposed to be -1 (minus 1) not 1 (plus one), then the nth term is given by: tn = n2 - 2n