There are infinitely many options. For example,
Un = (-n5 + 15n4 -85n3 + 230n2 - 279n + 140)/n
The simplest, is
Un = (n2 - n + 4)/2
tn=5n-3
To find the nth term of the sequence -2, 3, 12, 24, 42, we can look at the differences between consecutive terms: 5, 9, 12, 18. The second differences are 4, 3, 6, suggesting a quadratic pattern. The nth term can be expressed as (a_n = an^2 + bn + c). By solving for a, b, and c using the terms, we find (a_n = \frac{1}{2}n^2 + \frac{3}{2}n - 2).
5
The nth term is: 5-2n
-4n + 24 #1 ; -4(1) +24 = 20 #2 ; -4(2) + 24 = 16 #3 ; =4(3) + 24 = 12
The nth term is 5n-3 and so the next term will be 22
12 - 5(n-1)
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
If 3 is the first term, then the nth term is [ 3 x 2(n-1) ] .
5n - 3
The nth term is 18 -3n and so the next term will be 3
tn=5n-3
To find the nth term of the sequence -2, 3, 12, 24, 42, we can look at the differences between consecutive terms: 5, 9, 12, 18. The second differences are 4, 3, 6, suggesting a quadratic pattern. The nth term can be expressed as (a_n = an^2 + bn + c). By solving for a, b, and c using the terms, we find (a_n = \frac{1}{2}n^2 + \frac{3}{2}n - 2).
3n
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. :)
The nth term is 2 + 3n.
If you mean: 3, 4, 5, 6 and 7 then nth term = n+2