Solve the Recurrence Relation Either by Using the Characteristic Equation $$a _ { n } = 3 n a _ { n - 1 } , \quad a _ { 0 } = 2$$

question 8

Short Answer

solve the recurrence relation either by using the characteristic equation or by discovering a pattern formed by the terms.
- $$a _ { n } = 3 n a _ { n - 1 } , \quad a _ { 0 } = 2$$

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Definitions:

Sampling Distribution

The probability distribution of a given statistic based on a random sample, important in inferential statistics for making inferences about a population.

Population Variances

A measure of the dispersion or spread of the entirety of data points in a population.

Student-t

A distribution that looks similar to the normal distribution but has thicker tails, used especially in scenarios of small sample sizes.

Confidence Interval

A tract of values derived by statistical analysis of samples, thought to potentially include the value of a population parameter not yet known.