The simplest polynomial, of an infinite number of possible solutions, is
Un = (-2n3 + 12n2 - 7n + 6)/3
Un = 5n - 2
The nth term is 2 + 3n.
The nth term is 4n - 3
It is: 10n-7 and so the next term is 43
It is: 5n+3 and so the next term is 28
The sequence 3, 8, 13, 18, 23, 28 increases by 5 each time. This indicates a linear pattern. The nth term can be expressed as ( a_n = 3 + 5(n - 1) ), which simplifies to ( a_n = 5n - 2 ). Thus, the nth term of the sequence is ( 5n - 2 ).
The nth term of a sequence is the general formula for a sequence. The nth term of this particular sequence would be n+3. This is because each step in the sequence is plus 3 higher than the previous step.
The sequence 5, 8, 11, 14, 17 is an arithmetic progression where each term increases by 3. The first term (a) is 5, and the common difference (d) is 3. The nth term can be expressed using the formula: ( a_n = a + (n-1)d ). Therefore, the nth term is ( a_n = 5 + (n-1) \cdot 3 = 3n + 2 ).
The nth term is: 5-2n
x2-3=n
2n + 1
20 - (3 * (n - 1))