Answer
(a)
$a_1=-10$
$a_2=-6$
$a_3=-2$
$a_4=2$
$a_5=6$
(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:
$a_1=-10+4(1-1)=-10+4(0) = -10+0=-10$
$a_2=-10+4(2-1)=-10+4(1) = -10+4=-6$
$a_3=-10+4(3-1)=-10+4(2) = -10+8=-2$
$a_4=-10+4(4-1)=-10+4(3) = -10+12=2$
$a_5=-10+4(5-1)=-10+4(4) = -10+16=6$
(b) The common difference can be found by subtracting the first term to the second term:
$d=-6-(-10)
\\d=-6+10
\\d=4$
(c) Plot the points:
$(1, -10)
\\(2, -6)
\\(3, -2)
\\(4, 2)
\\(5, 6)$
Refer to the attached image in the answer part above.