(d) [tex]\frac{75}{2}[/tex], [tex]\frac{75}{4}[/tex], [tex]\frac{75}{8}[/tex]
(e) 68, 82, 96
(d) note that the terms have a common ratio ( r )
r = [tex]\frac{300}{600}[/tex] = [tex]\frac{150}{300}[/tex] = [tex]\frac{1}{2}[/tex]
to obtain any term in the sequence, multiply the previous term by [tex]\frac{1}{2}[/tex]
75 × [tex]\frac{1}{2}[/tex] = [tex]\frac{75}{2}[/tex]
[tex]\frac{75}{2}[/tex]× [tex]\frac{1}{2}[/tex] = [tex]\frac{75}{4}[/tex]
[tex]\frac{75}{4}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{75}{8}[/tex]
(e) note that the terms have a common difference (d )
d = 26 - 12 = 40 - 26 = 54 - 40 = 14
to obtain any term in the sequence, add 14 to the previous term
54 + 14 = 68
68 + 14 = 82
82 + 14 = 96
