(d)
,
,
![(75)/(8)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/klzc39edk6ygi8ulhj58nn922hrav219ki.png)
(e) 68, 82, 96
(d) note that the terms have a common ratio ( r )
r =
=
=
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)
to obtain any term in the sequence, multiply the previous term by
![(1)/(2)](https://img.qammunity.org/2019/formulas/mathematics/college/q5zg49mbtfrwobmmahi676fbgez56hhab0.png)
75 ×
=
![(75)/(2)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/khd3abz71t8kar2wnwapyj1qckeqrhq9a6.png)
×
=
![(75)/(4)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/1qw57q98piz4ts96q433fa3dj94vt1f67e.png)
×
=
![(75)/(8)](https://img.qammunity.org/2019/formulas/mathematics/middle-school/klzc39edk6ygi8ulhj58nn922hrav219ki.png)
(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