How do you graph the arithmetic sequence $a_n=4-1/2n$ ?

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Answer 1 · 2018-03-17T07:58:40

As below.

Given $a_n = 4 - (1/2)n$

$a_1 = 4 - 1/2 = 7/2$

$a_2 = 4 - (1/2) * 2 = 3$

$a_3 = 4 - (1/2) * 3 = 5/2$

$d = a_2 - a_1 = a_3 - a_2 = 1/2$

$y = mx + c$

Given equation is $y = -(1/2)n + 4$

where slope $m = -(1/2), y"-intercept" = 4$

graph{-(1/2)x + 4 [-10, 10, -5, 5]}

How do you graph the arithmetic sequence a_n=4-1/2na_n=4-1/2n?