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Any number that you choose can be the next number. It is easy to find a rule based on a polynomial of order 4 such that the first four numbers are as listed in the question followed by your chosen number in the next place. There are also non-polynomial solutions. 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.
One possible solution, using a polynomial of order 3, isU(n) = 39*n^3 - 210*n^2 + 373*n - 197 for n = 1, 2, 3, 4, 5 which gives U(5) = 1293.
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What is next in the sequence 5 21 85 341?
As you are multiplying by 4 and then adding 1, the next number is 1365.
What is the next number in the sequence 3-15-6-30-21?
The next number in the sequence 3-15-6-30-21 is -207.
What is the next number in the sequence 11 21 3112 512213?
71422315
What is the next number in this sequence 16 21 22 29?
16 21 22 29
What is the next number in the sequence 1-11-21-1211-111221?
312211
What is next in the sequence 5 21 85 341?
As you are multiplying by 4 and then adding 1, the next number is 1365.
What is the next number in the sequence 3-15-6-30-21?
The next number in the sequence 3-15-6-30-21 is -207.
Next number in the sequence 16 26 21 31?
a
1 11 21 1211 111221 312211 what is the next numbers in this sequence?
The next number in this sequence is 13112221.
What is the next number in a sequence 60 33 24 21?
20
What the next number in the sequence 3 21 147 1029?
7203
What is the next number in the sequence 12 16 21 27?
It is: 34
What is the next number in the sequence 11 21 3112 512213?
71422315
What is the next number in this sequence 16 21 22 29?
16 21 22 29
What is the next number in the sequence 67 57 48 40 30?
21
What is the next number in the sequence 1-11-21-1211-111221?
312211
Choose the next number in the sequence 5 8 13 21?
34
