It is possible to find a polynomial of order 5 such that, using that polynomial for the position to term rule, ANY number can be the next number.
However, the only polynomial of degree 4 that will fit the given points is
Un = (15n4 - 214n3 + 1041n2 - 1970n + 1344)/24 for n = 1, 2, ...
Using this rule, the next numbers are 9, 49, 170, ...
it is 31818 - 8 = 1010 - 4 = 66 - 2 = 44 - 1 = 3
2
The next number in the series 1 2 4 8 10 20 22 is
The next number is -21
10 11 9 12 13 8 14 7 15 6 16 5 17
it is 31818 - 8 = 1010 - 4 = 66 - 2 = 44 - 1 = 3
30
2
The pattern is - 5 then +2. 2 and 4 are the next numbers in the series.
10
In a number series, you must figure out the "pattern" in order to say what will be the next number. For example, in each of the following number series, say what is the pattern, and what is the next number. 1. 1 3 5 7 Answer: The pattern is to increase the previous number by 2, and the next number is 9. 2. 3 10 31 94 Answer: The pattern is to multiply the previous number by 3, then add 1, and the next number is 283. 3. 100 10 1 0.1 Answer: The pattern is to divide the previous number by 10, and the next number is 0.01.
Oh, what a delightful series of numbers we have here! It looks like we are moving the decimal point one place to the left each time. So, following this pattern, the next number in the series would be 0.006. Remember, there are no mistakes in this beautiful world of numbers, just happy little patterns waiting to be discovered.
The next number in the series 1 2 4 8 10 20 22 is
10
10
5
The next number is -21