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To find the nth term in a quadratic sequence, first identify the first and second differences of the sequence. The second difference should be constant for a quadratic sequence. Use this constant to determine the leading coefficient of the quadratic equation, which is half of the second difference. Next, use the first term and the first difference to derive the complete quadratic formula in the form ( an^2 + bn + c ) by solving for coefficients ( a ), ( b ), and ( c ) using known terms of the sequence.
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What is the nth term for the sequence 5 15 29 47 69?
To find the nth term of the sequence 5, 15, 29, 47, 69, we first determine the differences between consecutive terms: 10, 14, 18, and 22. The second differences are constant at 4, indicating that the nth term is a quadratic function. By fitting the quadratic formula ( an^2 + bn + c ) to the sequence, we find that the nth term is ( 2n^2 + 3n ). Thus, the nth term of the sequence is ( 2n^2 + 3n ).
What is the nth term for the sequence 1 6 13 22 33?
The given sequence is 1, 6, 13, 22, 33. To find the nth term, we can observe that the differences between consecutive terms are 5, 7, 9, and 11, which indicates that the sequence is quadratic. The nth term can be expressed as ( a_n = n^2 + n ), where ( a_n ) is the nth term of the sequence. Thus, the formula for the nth term is ( a_n = n^2 + n ).
What is the nth term of 2581114?
To determine the nth term of the sequence 2581114, we need to identify a pattern or rule governing the sequence. However, without additional context or a specific formula defining the sequence, it's impossible to ascertain the nth term. If you can provide more details about how the sequence is generated or the rules behind it, I can help you find the nth term.
What is the nth term for 4 13 28 49 76?
To find the nth term of the sequence 4, 13, 28, 49, 76, we first identify the differences between consecutive terms: 9, 15, 21, 27. The second differences, which are constant at 6 (6, 6, 6), suggest that the sequence is quadratic. The nth term can be expressed as ( an^2 + bn + c ). By solving the equations based on the first few terms, we find the nth term is ( n^2 + 3n ).
What is the nth term for the sequence 0 4 12 24 40?
To find the nth term of a sequence, we first need to identify the pattern or rule governing the sequence. In this case, the sequence appears to be increasing by 4, then 8, then 12, then 16, and so on. This pattern suggests that the nth term can be represented by the formula n^2 + n, where n is the position of the term in the sequence. So, the nth term for the given sequence is n^2 + n.
What is the nth term for the sequence 5 15 29 47 69?
To find the nth term of the sequence 5, 15, 29, 47, 69, we first determine the differences between consecutive terms: 10, 14, 18, and 22. The second differences are constant at 4, indicating that the nth term is a quadratic function. By fitting the quadratic formula ( an^2 + bn + c ) to the sequence, we find that the nth term is ( 2n^2 + 3n ). Thus, the nth term of the sequence is ( 2n^2 + 3n ).
What is the nth term of the quadratic sequence 4 7 12 19 28?
nth term is n squared plus three
What is the nth term for 8 13 20 29 40?
To find the nth term in this sequence, we first need to determine the pattern. The differences between consecutive terms are 5, 7, 9, and 11 respectively. These differences are increasing by 2 each time. This indicates that the sequence is following a quadratic pattern. The nth term for this sequence can be found using the formula for the nth term of a quadratic sequence, which is Tn = an^2 + bn + c.
What is the nth term for the sequence 1 6 13 22 33?
The given sequence is 1, 6, 13, 22, 33. To find the nth term, we can observe that the differences between consecutive terms are 5, 7, 9, and 11, which indicates that the sequence is quadratic. The nth term can be expressed as ( a_n = n^2 + n ), where ( a_n ) is the nth term of the sequence. Thus, the formula for the nth term is ( a_n = n^2 + n ).
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 is the nth term rule of the quadratic sequence below8,16,26,38,52,68,86,..?
94 and you skip it by 8's
What is the nth term rule of the quadratic sequence below4,6,10,16,24,34,46sorry for asking a lot of questions?
nevermind i got it!!
What is the nth term for 98 94 90 84?
To find the nth term in a sequence, we first need to identify the pattern or formula that describes the sequence. In this case, the sequence appears to be decreasing by 4, then decreasing by 6, and finally decreasing by 10. This suggests a quadratic pattern, where the nth term can be represented as a quadratic function of n. To find the specific nth term for this sequence, we would need more data points or information about the pattern.
What is the nth term rule of the quadratic sequence 7 14 23 34 47 62 79 . . .?
It is T(n) = n2 + 4*n + 2.
How do you work out the nth term of a sequence?
Find the formula of it.
What is the nth term of 2581114?
To determine the nth term of the sequence 2581114, we need to identify a pattern or rule governing the sequence. However, without additional context or a specific formula defining the sequence, it's impossible to ascertain the nth term. If you can provide more details about how the sequence is generated or the rules behind it, I can help you find the nth term.
What is the nth term for 1 7 13 19?
The given sequence is an arithmetic sequence with a common difference of 6. To find the nth term of this sequence, we can use the following formula: nth term = first term + (n - 1) x common difference where n is the position of the term we want to find. In this sequence, the first term is 1 and the common difference is 6. Substituting these values into the formula, we get: nth term = 1 + (n - 1) x 6 nth term = 1 + 6n - 6 nth term = 6n - 5 Therefore, the nth term of the sequence 1, 7, 13, 19 is given by the formula 6n - 5.
