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There are infinitely many polynomials of order 6 (or higher) that will give these as the first six 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.
In this particular case, the simplest solution isU(n) = 3*n^2 - 1 for n = 1, 2, 3, ...
What else can I help you with?
What is the nth term for -2 5 12 19 26?
It is: nth term = 7n-9
What is the 9th term in the quadratic sequence 2 5 10 17 26?
To find the nth term in a quadratic sequence, we first need to determine the pattern. In this case, the difference between consecutive terms is increasing by 3, 5, 7, 9, and so on. This indicates a quadratic sequence. To find the 9th term, we need to use the formula for the nth term of a quadratic sequence, which is given by: Tn = an^2 + bn + c. By plugging in n=9 and solving for the 9th term, we can find that the 9th term in this quadratic sequence is 74.
What body part has 26 bones 33 joints 107 ligaments 19 muscles?
foot
What is the mean of 13 15 26 11 26 16 12?
(13 + 15 + 26 + 11 + 26 + 16 + 12)/7 = 17 ====
What is the nth term of 2 8 16 26 38 52?
n2 + 3n - 2
What is the nth term of 2 11 26 47 74 107?
To find the nth term of this sequence, we first need to determine the pattern or rule governing the sequence. By examining the differences between consecutive terms, we can see that the sequence is increasing by 9, 15, 21, 27, and so on. This indicates that the nth term is given by the formula n^2 + 1.
What is the nth term for 26 18 10 2 -6?
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
What is the nth term for -2 5 12 19 26?
It is: nth term = 7n-9
What is the formula for the nth term of this sequence 26 17 8 -1?
It is: nth term = 35-9n
What is the nth term for 26 37 50 65 82?
46n9
What is the nth term of 14 20 26 32 38?
[ 6n + 8 ] is.
What is the nth term for 20 14 8 2 -4?
It is: 26-6n
What is the nth term for 11 14 19 26?
Tn = 10 + n2
What is the nth term in this sequence 11 21 35 53 75 101?
To find the nth term of the sequence 11, 21, 35, 53, 75, 101, we can observe the differences between consecutive terms: 10, 14, 18, 22, and 26, which increase by 4 each time. This suggests that the sequence can be described by a quadratic function. The nth term can be represented as ( a_n = 5n^2 + 6n ), where n starts from 1. Thus, the nth term corresponds to this formula for values of n.
What is the nth term of 2 6 10 14 18?
Well, isn't that just a lovely pattern we have here? Each term is increasing by 4, isn't that delightful? So, if we want to find the nth term, we can use the formula: nth term = first term + (n-1) * common difference. Just like painting a happy little tree, we can plug in the values and find the nth term with ease.
What is the nth term for 26 17 8 -1 -10?
The common difference (d) between successive terms is -9. The first term (a) is 26 The formula for the nth term [a(n)] of an Arithmetic Series is , a + (n - 1)d. Inputting the values for a and d gives :- a(n) = 26 - 9(n - 1) = 26 - 9n + 9 = 35 - 9n......where n = 1,2,3......
What is the nth term of 2 10 26 50 82?
t(n) = 4n2 - 4n + 2
