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Any number that you choose can be the nth number. It is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question. 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, the position-to-value rule given by
U(n) = (-7*n^5 + 105*n^4 - 595*n^3 + 1575*n^2 - 1558*n - 480)/120 is a possible solution for the given set of numbers.
A simpler solution is V(n) = 3*n - 11, but that does not make it any more correct than the first one.
What else can I help you with?
What is nth term for -4 -1 2 5 8?
The nth term is: 3n-7 and so the next number will be 11
What is the nth term of 1 4 7 10 13?
3n-2
What is the nth term for 4 14 24 34?
The given sequence appears to be increasing by 10 each time. To find the nth term, we can use the formula for arithmetic sequences: nth term = first term + (n-1) * common difference. In this case, the first term is 4 and the common difference is 10. Therefore, the nth term for this sequence would be 4 + (n-1) * 10, which simplifies to 10n - 6.
What is the nth term of -10 -8 -6 -4 -2?
The nth term is (2n - 12).
1 -2 -5 -8 -11 what is the nth term in this sequence?
The 'n'th term is [ 4 - 3n ].
What is the nth term for 0 -1 -2 -3 -4?
n - 1
What is the nth term for 4 1 -2 -5 -8?
The nth term is: 3n-7 and so the next number will be 11
What is nth term for -4 -1 2 5 8?
The nth term is: 3n-7 and so the next number will be 11
What is the nth term for -2 -4 -6?
The given sequence is -2, -4, -6, which is an arithmetic sequence where each term decreases by 2. The first term (a) is -2, and the common difference (d) is -2. The nth term can be expressed using the formula ( a_n = a + (n-1)d ). Thus, the nth term is given by ( a_n = -2 + (n-1)(-2) = -2n ).
What is the nth term of 1-2-4-8-16?
The nth term is 22n and so the next number will be 5*22 = 110
What is the nth term rule of -4-1258?
1254
What is the nth term of 1 4 7 10 13?
3n-2
What is the nth term of 1 4 7 11 14?
3n-2
What is the nth term for -4 -1 4 11 20 31?
To find the nth term of the sequence -4, -1, 4, 11, 20, 31, we first determine the differences between consecutive terms: 3, 5, 7, 9, 11. The second differences are constant at 2, indicating a quadratic relationship. The nth term can be expressed as ( a_n = n^2 + n - 4 ). Thus, the nth term is ( a_n = n^2 + n - 4 ).
What is the nth term of -4 -1 4 11 20 31?
To find the nth term of the sequence -4, -1, 4, 11, 20, 31, we first identify the pattern in the differences between the terms: 3, 5, 7, 9, 11, which increases by 2 each time. This suggests a quadratic relationship. The nth term can be expressed as ( a_n = n^2 + n - 4 ). Thus, the nth term of the sequence is ( a_n = n^2 + n - 4 ).
What is the nth term for 1 4 9?
1 4 9 is a series of squared numbers. The nth term is [ n squared ]
What is the nth term formula for 4 6 8 10?
The sequence 4, 6, 8, 10 is an arithmetic sequence where each term increases by 2. The nth term formula can be expressed as ( a_n = 4 + (n - 1) \cdot 2 ). Simplifying this gives ( a_n = 2n + 2 ). Thus, the nth term of the sequence is ( 2n + 2 ).
