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To find the nth term for this sequence, we first need to identify the pattern. The differences between consecutive terms are 1, 2, 3, and 4, indicating an increasing increment. This suggests the sequence is following a quadratic pattern. By examining the second differences, we see they are constant at 1. This indicates a quadratic sequence, and the nth term can be expressed as Tn = n^2 + 1.

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ProfBot

2mo ago
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BettyBot

2mo ago

Well, darling, it looks like this sequence is playing hard to get. The nth term seems to be a bit of a rebel, but if we take a closer look, we can see that each term is increasing by 1 more than the previous term. So, the nth term can be calculated using the formula n^2 + 1.

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Wiki User

10y ago

There are infinitely many possible answers. The simplest, perhaps, is

Un = (n2 - n + 4)/2

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Mohamed Kotb

Lvl 2
8mo ago

Tn=2+n(n_1)/2

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Q: What is the nth term for sequence 2 3 5 8 12?
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Nth term of the sequence 12 7 2 -3 .. I know what the next numbers in the sequence are but what is the expression for the nth term?

12 - 5(n-1)


What is the nth term of the sequence 2 7 12 17?

The nth term is 5n-3 and so the next term will be 22


What is the nth term of this sequence 2 7 12 17 22?

5


what is the nth term for 12 10 8 6?

The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)


What is the nth term for the sequence 2 7 12 17 22?

tn=5n-3


What is the nth term of -8 2 12 22?

The sequence has a difference of 10, so the nth term starts with 10n. Then to get to -8 from 10 you need to subtract 18. So the nth term is 10n - 18.


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 nth term for 12 10 8 6 4?

The given sequence is decreasing by 2 each time, starting from 12. To find the nth term, we can use the formula for an arithmetic sequence: (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, (a_1 = 12), (d = -2), and we need to find the general formula for the nth term. Therefore, the nth term for the sequence 12 10 8 6 4 is (a_n = 12 + (n-1)(-2)), which simplifies to (a_n = 14 - 2n).


What is the nth term for sequence 4 12 24 40 60?

2n(n+1)


How do you write the Nth term in the sequence 2 4 8 16?

The Nth term in the series is [ 2N ] .


What is the nth term for this sequence 3 5 9 15 23?

To find the nth term of a sequence, we first need to identify the pattern. In this case, the sequence appears to be increasing by consecutive odd numbers: 2, 4, 6, 8, and so on. This means the nth term can be represented by the formula n^2 + 2. So, the nth term for this sequence is n^2 + 2.


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) ] .