The First Four Terms of a Sequence Are Given $1 , - \frac { 3 } { 2 } , 2 , - \frac { 5 } { 2 }$

question 67

Short Answer

The first four terms of a sequence are given. Determine whether they can be terms of an arithmetic sequence, a geometric sequence, or neither. If the sequence is arithmetic find the common difference. If the sequence is geometric find the common ratio. $1 , - \frac { 3 } { 2 } , 2 , - \frac { 5 } { 2 }$

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Definitions:

Isoquant

A curve that shows all combinations of inputs that produce the same level of output, used in production theory to analyze optimal input combinations.

Absolute Value

In mathematics, the distance of a number on the number line from zero, without considering direction; it's always a positive value.

Slope

The slope is the measure of the steepness or incline of a line, typically described as the ratio of the rise over the run between two points on the line.

Isocost Line

A line that represents all combinations of inputs which have the same total cost.