Given any number it is easy to find a rule based on a polynomial of order 5 such that the first five numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.
The simplest polynomial of order 4 is
Un = (-11n4 + 138n3 - 601n2 + 1074n - 624)/24 for n = 1, 2, 3, ...
and, accordingly, the next number is -11.
1+1=2 : 1+2=3 : 2+3=5 : 3+5=8Therefore the next number is 8
If you fit the following cubic t(n) = (-n3 + 9n2 - 20n + 18)/3 where n = 1, 2, 3, ... then the next number is t(6) = 1
The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...
The next number is 61. The rule is Un = (33n4 - 394n3 + 1599n2 - 2510n + 1296)/24 for n = 1, 2, 3, ...
1
1+1=2 : 1+2=3 : 2+3=5 : 3+5=8Therefore the next number is 8
You add two then take one. 1+2=3, 3-1=2, 2+2=4, 4-1=3. The next number is 5.
The next number is 4, followed by -2
Correct. For example: 1 + 1 = 2 2 + 1 = 3 3 + 1 = 4
The number that comes next in the series 1 2 2 5 3 10 is 7. You get this number by subtracting the number 3 from the number 10.
4.
If you fit the following cubic t(n) = (-n3 + 9n2 - 20n + 18)/3 where n = 1, 2, 3, ... then the next number is t(6) = 1
8 -1 then +3
The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...The next number is 1004.The rule is Un = (-73n4 + 893n3 - 3803n2 + 6520n - 3504)/3 for n = 1, 2, 3, ...
The answer is 8 because 1+1=2, 1+2=3, 2+3=5,and 3+5=8.
The next number is 61. The rule is Un = (33n4 - 394n3 + 1599n2 - 2510n + 1296)/24 for n = 1, 2, 3, ...
Each number is being added to the one before it. So, 5+3=8. 8 is the next number.