Use the Principle of Mathematical Induction to Show That the Statement

question 31

Essay

Use the Principle of Mathematical Induction to show that the statement is true for all natural numbers n.
-Use the Principle of Mathematical Induction to show that the statement "5 is a factor of 7n - 2n" is true for all
natural numbers. ( $$\left( \text { Hint: } 7 ^ { \mathrm { k } + 1 } - 2 ^ { \mathrm { k } + 1 } = 7 \left( 7 ^ { \mathrm { k } } - 2 ^ { \mathrm { k } } \right) + 5 \cdot 2 ^ { \mathrm { k } } \right)$$

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Definitions:

Portfolio Performance

The analysis and evaluation of the returns generated by a collection of investments held by an individual or an institution.

Observation Period

A specific timeframe during which data is collected or observations are made.

Variance of Stock Returns

A measure of the spread between numbers in a data set, showing the degree of variation from the mean of stock returns.

High Variance

Referring to investments or processes that exhibit a wide dispersion of possible outcomes or returns, often indicating higher risk.