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DevinTo find the pattern in the sequence 6, 11, 18, 27, 38, we need to calculate the differences between consecutive terms. The differences are 5, 7, 9, 11, which are increasing by 2 each time. This suggests that the pattern is based on quadratic growth. By examining the second differences, which are constant at 2, we can infer that the nth term can be found using a quadratic equation of the form an^2 + bn + c.
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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 of 3 6 11 18 27?
The given sequence is an arithmetic sequence with a common difference that increases by 1 with each term. To find the nth term of an arithmetic sequence, you can use the formula: nth term = a + (n-1)d, where a is the first term, n is the term number, and d is the common difference. In this case, the first term (a) is 3 and the common difference (d) is increasing by 1, so the nth term would be 3 + (n-1)(n-1) = n^2 + 2.
What is the nth term of 3 11 19 27?
each time the number increases by 8 and the original number was 3.This means that nth term = 3+(n-1)8ie. the fourth term 27 would be 3 + (4-1)x8 = 3+24 = 27
What is the Nth term for the sequence 3 6 11 18 27?
Subtract 2 from the sequence and the answer becomes obvious: 1, 4, 9, 16, 25,...,N2 Now, add the 2 back in: 3, 6, 11, 18, 27,...,(N2+2)
What is the nth term of this sequence 13 20 27 34 41?
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