Linear prediction is a mathematical operation on future values of an estimated discrete time signal. Its rule is to predict the output by using the given inputs.
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In linear algebra, Cramer's rule is an explicit formula for the solution of a system of linear equations with as many equations as unknowns, valid whenever the system has a unique solution.
The concept of systems of linear equations dates back to ancient civilizations such as Babylonians and Egyptians. However, the systematic study and formalization of solving systems of linear equations is attributed to the ancient Greek mathematician Euclid, who introduced the method of substitution and elimination in his work "Elements." Later mathematicians such as Gauss and Cramer made significant contributions to the theory and methods of solving systems of linear equations.
The rule you have described is likely a linear function. When the input is -2 and the output is 4, it means that the function relates these two values through a specific mathematical operation. To determine the exact rule, we need more data points or information about the function's form (e.g., y = mx + b for a linear function).
the rule is:keep adding double starting from 1
sorting rule means sort out according to size and kind