An Arithmetic Sequence Is Given $$\left\{ \frac { 1 } { 3 } + \frac { n } { 8 } \right\}$$

question 14

Multiple Choice

An arithmetic sequence is given. Find the common difference and write out the first four terms.
- $$\left\{ \frac { 1 } { 3 } + \frac { n } { 8 } \right\}$$

• A) \(\mathrm { d } = \frac { 1 } { 3 } ; \frac { 11 } { 24 } , \frac { 7 } { 12 } , \frac { 17 } { 24 } , \frac { 5 } { 6 }\)
• B) \(\mathrm { d } = \frac { 1 } { 3 } ; \frac { 1 } { 3 } , \frac { 11 } { 24 } , \frac { 7 } { 12 } , \frac { 17 } { 24 }\)
• C) \(\mathrm { d } = \frac { 1 } { 8 } ; \frac { 11 } { 24 } , \frac { 7 } { 12 } , \frac { 17 } { 24 } , \frac { 5 } { 6 }\)
• D) \(\mathrm { d } = \frac { 1 } { 8 } ; \frac { 1 } { 3 } , \frac { 11 } { 24 } , \frac { 7 } { 12 } , \frac { 17 } { 24 }\)

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Definitions:

Naturalistic Observation

A study method where participants are monitored in their usual surroundings with no alteration by the researcher.

Native Habitat

The natural environment in which a species lives and evolves.

Survey Research

A research method involving the collection of data from a predetermined group of respondents to gain information about populations or phenomena.

Experimental Method

A research methodology that involves manipulating one variable to determine if changes in one variable cause changes in another variable.