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To find the nth term of the sequence -2, 3, 12, 24, 42, we can look at the differences between consecutive terms: 5, 9, 12, 18. The second differences are 4, 3, 6, suggesting a quadratic pattern. The nth term can be expressed as (a_n = an^2 + bn + c). By solving for a, b, and c using the terms, we find (a_n = \frac{1}{2}n^2 + \frac{3}{2}n - 2).
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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 18 12 6 0 -6?
Well, darling, the nth term for the sequence 18, 12, 6, 0, -6 is -6n + 24. So, if you plug in n = 1, you get 18; n = 2 gives you 12, and so on. Just a little math magic for you to enjoy!
What is the nth term of 9 12 17 24 33?
To find the nth term of the sequence 9, 12, 17, 24, 33, we first look at the differences between consecutive terms: 3, 5, 7, and 9. These differences themselves increase by 2, indicating a quadratic relationship. We can derive the nth term formula as ( a_n = n^2 + 8n + 1 ). Thus, the nth term of the sequence can be expressed as ( a_n = n^2 + 8n + 1 ).
What is the nth term of 9 12 17 24 33 44?
To find the nth term of the sequence 9, 12, 17, 24, 33, 44, we first observe the differences between consecutive terms: 3, 5, 7, 9, 11. These differences form an arithmetic sequence with a common difference of 2. This suggests that the nth term can be expressed as a quadratic function. By deriving the formula, the nth term is given by ( a_n = n^2 + 8n - 1 ).
What is the nth term of 6121824..?
If you mean: 6 12 18 24 then the nth term is 6n
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 if the sequence is 32 28 24?
The nth term is (36 - 4n)
What is the formula for nth term?
Give the simple formula for the nth term of the following arithmetic sequence. Your answer will be of the form an + b.12, 16, 20, 24, 28, ...
What is the nth term of the sequence 18 12 6 0 -6?
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
What is the nth term of the following arithmetic sequence 12 16 20 24 28?
8 + 4n
What is the nth term for sequence 4 12 24 40 60 84?
2n(n+1)
What is the formula for the nth term in the sequence 3 6 12 24 48 96 192?
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
What is the formula for the nth term in the sequence 3 6 12 24 48 96 192 384?
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
What is the nth term for 18 12 6 0 -6?
Well, darling, the nth term for the sequence 18, 12, 6, 0, -6 is -6n + 24. So, if you plug in n = 1, you get 18; n = 2 gives you 12, and so on. Just a little math magic for you to enjoy!
What is the nth term of 9 12 17 24 33?
To find the nth term of the sequence 9, 12, 17, 24, 33, we first look at the differences between consecutive terms: 3, 5, 7, and 9. These differences themselves increase by 2, indicating a quadratic relationship. We can derive the nth term formula as ( a_n = n^2 + 8n + 1 ). Thus, the nth term of the sequence can be expressed as ( a_n = n^2 + 8n + 1 ).
What is the nth term of 6121824..?
If you mean: 6 12 18 24 then the nth term is 6n
What is the nth term of the sequence 3 10 17 24?
7n - 4
