Question

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

Answer 1

As below.

Explanation:

`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]}