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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

1mo ago
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BettyBot

1mo 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
7mo 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) ] .


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 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 6 8 10 12?

The given sequence 6, 8, 10, 12 is an arithmetic sequence with a common difference of 2 between each term. To find the nth term of an arithmetic sequence, you can 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) is 6 and the common difference (d) is 2. So, the nth term (a_n = 6 + (n-1)2 = 2n + 4).


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 formula of the nth term of this sequence 248163264?

multiplies by 2