Use the Principle of Mathematical Induction to Show That the Statement

question 138

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
- $$1 \cdot 2 + 2 \cdot 3 + 3 \cdot 4 + \ldots + n ( n + 1 ) = \frac { n ( n + 1 ) ( n + 2 ) } { 3 }$$

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Definitions:

Three-period

Pertains typically to a moving average or other statistical calculation considering data from three specific time periods for analysis or forecasting.

Weightage

Weightage refers to the assigned importance or value given to elements within a calculation or process, influencing the overall outcome.

Root Mean Square of Errors

A measure of the differences between values predicted by a model or an estimator and the values observed, expressing the square root of the mean of the squares of these differences.

Actual Value

The true, factual, or real value of a measurement, differing from an estimated or theoretical value.