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 sequence provided is the Fibonacci sequence, where each number is the sum of the two preceding ones. In this case, after 1, 1, 2, 3, and 5, the next number is 3 + 5, which equals 8. Therefore, the next logical number in the sequence is 8.
The next number is 61. The rule is Un = (33n4 - 394n3 + 1599n2 - 2510n + 1296)/24 for n = 1, 2, 3, ...
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 answer is 8 because 1+1=2, 1+2=3, 2+3=5,and 3+5=8.
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, ...
The third number is 2 -- the first number is 1, second is 1, next is 1+1=2, then 1+2=3, 2+5=5 etc.