Verify That $a _ { n } = 3 ^ { n } + 1$

question 102

Short Answer

Verify that $a _ { n } = 3 ^ { n } + 1$ is a solution to the recurrence relation $a _ { n } = 4 a _ { n - 1 } - 3 a _ { n - 2 }$

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Definitions:

Equal Probability

A statistical condition where all outcomes have the same chance or likelihood of occurring.

Experimental Method

A research method involving the manipulation of variables to establish cause-and-effect relationships.

Variable Manipulation

The systematic adjustment or alteration of the independent variables in an experiment to observe their effect on the dependent variables.

Controlled Conditions

A methodological practice in experiments where all variables are kept constant except for the independent variable being tested.