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

question 45

Multiple Choice

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. $1 , - \frac { 3 } { 2 } , 2 , - \frac { 5 } { 2 }$

• A) arithmetic, \(d = - \frac { 3 } { 2 }\)
• B) arithmetic, \(d = - \frac { 1 } { 2 }\)
• C) geomettic, \(r = - \frac { 3 } { 2 }\)
• D) geometric, \(r = - \frac { 5 } { 4 }\)
• E) neither

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Definitions:

Variable Costing

An accounting method where variable costs are charged to cost units and fixed costs are treated as period costs.

Cost Behavior

Refers to the way different types of production costs change when there is a change in the level of production.

Special Order

A one-time order not considered part of the company's normal ongoing operations, often requiring special pricing and production considerations.

Variable Costs

Expenses that fluctuate directly with changes in production volume, such as raw materials and direct labor.