To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 12, 20, 28, 36, and 44. These are increasing by 8 each time. This means the second difference is constant, indicating a quadratic sequence. By calculating the second difference, we can determine the equation for the nth term. The nth term for this sequence is n^2 + 10.
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Well, honey, the nth term for that sequence is n^3 + 5. So, if you're looking for the 1st term, plug in n=1 and you'll get -1. If you're feeling fancy and want the 6th term, just plug in n=6 and you'll get 139. Math can be fun when you're sassy about it!
2n^2-1
10n + 1
+9
Difference is 5,7,9,11,13 Second difference is 2 (2x)^2 gives 4,9,16,25 Difference between 2x^2 and sequence is -5 Thus, the nth term will be (2n)^2-5
The nth term is 7n-4 and so the next number in the sequence is 31