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Oh, what a beautiful sequence of numbers you've created! To find the pattern, we can see that each number is increasing by adding consecutive odd numbers. The nth term for this sequence can be found using the formula n^2 + n. Just like painting, sometimes all we need is a little patience and observation to uncover the hidden beauty within patterns.
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DevinThe given sequence 0, 3, 8, 15, 24 is an arithmetic sequence where the nth term is given by the formula (a_n = a_1 + (n-1)d), where (a_1) is the first term, (d) is the common difference, and (n) is the term number. To find the nth term, we need to first identify the common difference between consecutive terms. The common difference in this sequence is 3, 5, 7, 9, which increases by 2 each time. Therefore, the nth term for this sequence is (a_n = 0 + (n-1)2 = 2n - 2).
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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.
Find nth term for sequence 0 5 10 15 20 25 30 35?
The given sequence is an arithmetic sequence with a common difference of 5. To find the nth term of an arithmetic sequence, we use the formula: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference. In this case, the first term (a_1 = 0) and the common difference (d = 5). Therefore, the nth term of the sequence is (a_n = 0 + (n-1)5 = 5n - 5).
What is the nth term for 4 14 24 34?
The given sequence appears to be increasing by 10 each time. To find the nth term, we can use the formula for arithmetic sequences: nth term = first term + (n-1) * common difference. In this case, the first term is 4 and the common difference is 10. Therefore, the nth term for this sequence would be 4 + (n-1) * 10, which simplifies to 10n - 6.
What is the nth term for the sequence 0 4 12 24 40 60?
An = 2(n - 1)2 + 2(n - 1) = 2n(n - 1)
What is the nth term of 12-8-4-0?
16 - 4nor4 (4 - n)
