There are infinitely many possible answers. A polynomial of any degree greater than 2 can be made to fit a set of four numbers. And then there are non-polynomial answers.
One simple answer is the following cubic:
Un = (-n2 + 13n - 48)/2 for n = 1, 2, 3, ...
After 13, it's 18.
18
18
18
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18 is the answer and here is why:- 3+1=4 4+2=6 6+3=9 9+4=13 13+5=18
18
18
18. The pattern is 3+1=4, 4+2=6, 6+3=9, 9+4=13, so 13+5=18
The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
18. 3+1=4, 4+2=6, 6+3=9, 9+4=13, 13+5=18.