The arithmetic sequence is
.
Find
th term of the arithmetic sequence :
Here,
and
.
The formula for
th term of the arithmetic sequence :
.
(Subtitute
and
)
(Simplify)
Thus, the related function is
.
Graph :
\Draw a coordinate plane.
\Graph the function
to determine the function is proportional or nonproportional.
.gif\")
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 does not describe a direct variation.