Graph the Function Corresponding to the Sequence Defined $$a _ { n } = \left( \frac { 1 } { 20 } + n \right) ^ { 1 / n }$$

question 285

Multiple Choice

Graph the function corresponding to the sequence defined. Use the graph to decide whether the sequence converges or
diverges.
- $$a _ { n } = \left( \frac { 1 } { 20 } + n \right) ^ { 1 / n }$$

• A)Converges
• B) Diverges

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Definitions:

Framing Effect

The influence of context or wording on people's decisions and judgments.

Pythagorean Theorem

A fundamental relation in Euclidean geometry among the three sides of a right triangle that states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Algorithm

A systematic procedure for solving a problem that works invariably when it is correctly applied.

Prototypes

The best or most typical example of a particular category or concept, often used as a basis for understanding or judgment.