How do you graph the arithmetic sequence #a_n=-0.25+0.45n#?

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Answer 1 · 2018-03-17T08:11:32

As below.

#y = mx + c#

Given equation is

#a_n = 0.45 n - 0.25#

Slope of the line #m = 0.45#

#a_1 = 0.45 - 0.25 = 0.2#

#a_2 = 0.45 * 2 - 0.25 = 0.9 - 0.25 = 0.65#

#a_3 = 0.45 * 3 - 0.25 = 1.1#

#a_3 - a_2 = a_2 - a_1 = d = 0.65 - 0.2 = 0.45#

graph{0.45x - 0.25 [-10, 10, -5, 5]}