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For the given sequence the simplest formula for the nth term is:
U{n} = n² + 3n - 2
However, that will only work if the sequence continues 68, 86, 106, 128, 152, ... (the difference between successive terms being the difference between the previous 2 terms plus 2).
If the sequence continues differently, then a different polynomial formula with higher powers will be required.
Any number that you choose can be the nth term. According to Wittgenstein's Finite Rule Paradox every finite sequence of numbers can be a described in infinitely many ways and so can be continued in any of these ways - some simple, some complicated but all equally valid. Short of reading the mind of the person who posed the question, there is no way of determining which of the infinitely many solutions is the "correct" one.
Using the principle of Occam's razor, the simplest solution, based on a polynomial of degree 2,
U(n) = n^2 + 3n - 2
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What is the nth term for the sequence 2 8 16 26 38?
2 + ((6 + 2 * (n - 1) * (n - 1))
What is the nth term of 14 20 26 32 38?
[ 6n + 8 ] is.
What is the nth term for 8 16 26 38 52?
Each number is increasing by increments of 8 10 12 14 ... etc and so the next number will be 52+16 = 68
What is the nth term of 2 8 16 26 38?
It depends what the next number in the sequence is. The simplest polynomial for those 5 terms is: U{n} = n² + 3n - 2
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 for the sequence 2 8 16 26 38?
2 + ((6 + 2 * (n - 1) * (n - 1))
What is the nth term of 14 20 26 32 38?
[ 6n + 8 ] is.
What is the nth term for 8 16 26 38 52?
Each number is increasing by increments of 8 10 12 14 ... etc and so the next number will be 52+16 = 68
What is the nth term of 2 8 16 26 38?
It depends what the next number in the sequence is. The simplest polynomial for those 5 terms is: U{n} = n² + 3n - 2
What is the nth term for the sequence 10 17 24 31 38?
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
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 20 29 38 47?
9n+2
What is the nth term of the sequence 18 23 28 33 38?
The 'n'th term is [ 13 + 5n ].
What is the the nth term of the sequence 18 23 28 33 38?
The 'n'th term is [ 13 + 5n ].
What is the nth term for the sequence 18 23 28 33 38?
The 'n'th term is [ 13 + 5n ].
What is the nth term if the sequence goes 18 23 28 33 38?
58
What is the nth term of 2 8 16 26 38 52?
n2 + 3n - 2
