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The given sequence is -9, -6, -1, 6, 15. To find the nth term, we can observe that the differences between consecutive terms are increasing by 3: (-6 - (-9) = 3), (-1 - (-6) = 5), (6 - (-1) = 7), (15 - 6 = 9). The second differences are constant at 2, indicating a quadratic relationship. The nth term of this sequence can be expressed as ( a_n = n^2 + 2n - 10 ).
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What is the nth term of 1 3 6 10 15 21?
The sequence 1, 3, 6, 10, 15, 21 consists of triangular numbers, where the nth term can be calculated using the formula ( T_n = \frac{n(n + 1)}{2} ). This formula represents the sum of the first n natural numbers. For example, for n = 1, the term is 1; for n = 2, it is 3, and so on. Thus, the nth term is the sum of the integers from 1 to n.
What is the nth term for 22 15 8 1 -6?
t(n) = 29 - 7n where n = 1, 2, 3, ...
What is the nth term formula for the triangle numbers 1 3 6 10 15 21?
(n^2+n)/2
What is the nth term out of 1 7 13 19 25?
The sequence 1, 7, 13, 19, 25 is an arithmetic sequence where each term increases by 6. The first term (a) is 1, and the common difference (d) is 6. The nth term can be expressed using the formula: ( a_n = a + (n - 1)d ). Therefore, the nth term is ( a_n = 1 + (n - 1) \cdot 6 = 6n - 5 ).
What is the nth term for -1 -6 -11 - 16 -21?
The given sequence is -1, -6, -11, -16, -21. To find the nth term, we can identify that the sequence decreases by 5 each time. Thus, the nth term can be expressed as: ( a_n = -1 - 5(n-1) ), which simplifies to ( a_n = -5n + 4 ).
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 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 for 15 12 9 6?
3n
What is the nth term of 15 12 9 6.?
The nth term is 18 -3n and so the next term will be 3
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.
What is the nth term of 1 3 6 10 15 21?
The sequence 1, 3, 6, 10, 15, 21 consists of triangular numbers, where the nth term can be calculated using the formula ( T_n = \frac{n(n + 1)}{2} ). This formula represents the sum of the first n natural numbers. For example, for n = 1, the term is 1; for n = 2, it is 3, and so on. Thus, the nth term is the sum of the integers from 1 to n.
What is the nth term for 22 15 8 1 -6?
t(n) = 29 - 7n where n = 1, 2, 3, ...
What is the nth term for 5 11 17 23 29?
35 * * * * * That is the next term. The question, however, is about the nth term. And that is 6*n - 1
What is the nth term for 6 11 18 27 38?
The nth term of the sequence is (n + 1)2 + 2.
What is the nth term for 26 18 10 2 -6?
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
The first 6 triangular numbers are?
1, 3, 6, 10, 15 ,21 The nth term for the sequence (where you replace n with the term you want to find) is: (n(n+1))/2
What is the nth term formula for the triangle numbers 1 3 6 10 15 21?
(n^2+n)/2
