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What is the next logical number in the following sequence of numbers 2 5 26?
Wiki User
∙ 8y ago
Any number that you choose can be the next logical number. It is easy to find a rule based on a polynomial of order 3 (a cubic) such that the first three numbers are as listed in the question followed by the chosen next number. 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.For example,The next number is 5 if you use the rule U(n) = -10*n^3 + 69*n^2 - 134*n + 77
The next number is 11 if you use the rule U(n) = -9*n^3 + 69*n^2 - 123*n + 71
The next number is 17 if you use the rule U(n) = -8*n^3 + 69*n^2 - 112*n + 65
Intermediate values can be obtained with fractional coefficient.The next number is 5 if you use the rule U(n) = -9.833...*n^3 + 68*n^2 - 132.166...*n + 76 or
U(n) = (-59*n^3 + 408*n^2 - 793*n + 456)/6
Wiki User
∙ 9y ago
Wiki User
∙ 8y ago677 is one possibility.
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