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There are infinitely many polynomials of order 5 that will give these as the first five numbers and any one of these could be "the" rule. 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, you may think that the rule is subtract 5, and so the next number should be -27.
But the following polynomial also fits:
U(n) = (n^5 - 15*n^4 + 85*n^3 - 225*n^2 + 254*n - 108)/4 and according to that, the next number should be 0. It is possible to find a polynomial so that ANY number can be the next and that, of course, changes the rest of the sequence. But it still meets the requirements of the first 5 numbers.
The simplest solution, based on a linear equation is
U(n) = 3 - 5n
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What is the nth term of 7 12 17 22 27?
5n+2
What is the nth term of -8 2 12 22?
The sequence has a difference of 10, so the nth term starts with 10n. Then to get to -8 from 10 you need to subtract 18. So the nth term is 10n - 18.
What is the nth term for 5 8 13 20 29 40?
To find the nth term of a sequence, we first need to identify the pattern. In this case, it appears that the sequence is increasing by consecutive odd numbers: 3, 5, 7, 9, 11, etc. Therefore, the nth term can be calculated using the formula: nth term = a + (n-1)d, where a is the first term (5), n is the term number, and d is the common difference (3 for this sequence). So, the nth term for this sequence would be 5 + (n-1)3, which simplifies to 3n + 2.
What is the nth term of 10 13 16 19?
The nth term is 3n+7 and so the next number will be 22
What is the nth term for 13 22 31 20 49?
+9
What is the nth term of the sequence 2 7 12 17?
The nth term is 5n-3 and so the next term will be 22
What is the nth term of 7 12 17 22 27?
5n+2
What is the nth term of 2-7-12-17-22?
5n - 3
What is the nth term of this sequence 2 7 12 17 22?
5
What is the nth term for the sequence 2 7 12 17 22?
tn=5n-3
What is the nth term of 2 12 22 23?
If you meant: 2 12 22 32 then the nth term = 10n-8
What is the nth term of -8 2 12 22?
The sequence has a difference of 10, so the nth term starts with 10n. Then to get to -8 from 10 you need to subtract 18. So the nth term is 10n - 18.
What is the nth term if the sequence is 22 15 8 1 -6?
It is: nth term = 29-7n
What is the nth term of 10 13 16 19?
The nth term is 3n+7 and so the next number will be 22
What is the nth term of the arithmetic sequence 22 15 8 1 ...?
The nth term is -7n+29 and so the next term will be -6
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 for 5 8 13 20 29 40?
To find the nth term of a sequence, we first need to identify the pattern. In this case, it appears that the sequence is increasing by consecutive odd numbers: 3, 5, 7, 9, 11, etc. Therefore, the nth term can be calculated using the formula: nth term = a + (n-1)d, where a is the first term (5), n is the term number, and d is the common difference (3 for this sequence). So, the nth term for this sequence would be 5 + (n-1)3, which simplifies to 3n + 2.
