The arithmetic sequence is .
Find th term of the arithmetic sequence :
Here, and
.
The formula for th term of the arithmetic sequence :
.
(Subtitute
and
)
(Distributive property :
)
(Simplify)
Thus, the related function is .
Graph :
\Draw a coordinate plane.
\Graph the function to determine the function is proportional or nonproportional.
Observe the graph :
\The graph of the line does not passes through the origin .
Therefore, the function is nonproportional.
\Therefore, the function does not describe a direct variation
\The function is ; It is nonproportional ; The function doss not describe a direct variation.