Answer
(a)
$a_1=-6$
$a_2=-10$
$a_3=-14$
$a_4=-18$
$a_5=-22$
(b) $d=-4$
(c) Refer to the image below for the graph.
Work Step by Step
(a) Find the first five terms of the sequence by substituting 1, 2, 3, 4, and 5 to the given formula to obtain:
$a_1=-6-4(1-1)=-6-4(0) = -6-0=-6$
$a_2=-6 -4(2-1) = -6-4(1) = -6-4=-10$
$a_3=-6-4(3-1)=-6-4(2)=-6-8=-14$
$a_4=-6-4(4-1)=-6-4(3)=-6-12=-18$
$a_5=-6-4(5-1) = -6-4(4) = -6-16=-22$
(b) The common difference can be found by subtracting the first term to the second term:
$d=-10-(-6)
\\d=-10+6
\\d=-4$
(c) Plot the points:
$(1, -6)
\\(2, -10)
\\(3, -14)
\\(4, -18)
\\(5, -22)$
Refer to the attached image in the answer part above.