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:

One-sided

Refers to a type of hypothesis test or confidence interval where the alternative hypothesis targets a specific direction of effect.

Two-sided

Pertaining to hypothesis testing, where the alternative hypothesis is not directional and considers both possibilities of the effect being greater than or less than the null hypothesis.

Null Hypothesis

A statement in hypothesis testing that presumes no significant difference or effect, serving as the default until evidence suggests otherwise.

Population Parameter

A value that accurately represents a particular characteristic of an entire population.