An arithmetic sequence will yield a graph that is a straight line.
A sequence is an arrangement of numbers in a particular pattern. The nth term of an arithmetic sequence is expressed as:
[tex]T_n=a+(n-1)d[/tex]
Expand
[tex]T_n=a+(n-1)d\\T_n=a+nd-d\\T_n=nd+a-d\\T_n=dn+(a-d)[/tex]
The given nth term of the expression in form of the equation of a straight line is y = mx + b where;
m is the slope
b is the intercept
Comparing with the expression:
slope = d
y-intercept b = a -d
Therefore we can conclude that an arithmetic sequence will yield a graph that is a straight line.
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