155165

Answers:
[Set 1]
a = 3/2
b = 2/3
c = 3
d = 1
e = 4

[Set 2]
a = - 3/2
b = - 2/3
c = - 3
d = - 1
e = - 4

Explanation:
[Solving for a]
ab = 1, so b = 1/a
{substitute for b} bc = 2, so c/a = 2, so c = 2a
{substitute for c} cd = 3, so 2ad = 3, so d = 3/2a
{substitute for d} de = 4, so 3e/2a = 4, so e = 8a/3
{substitute for e} ea = 6, so (8a^2)/3 = 6, so a = 3/2 or a = - 3/2

[Using a = 3/2]
(b = 1/a) b = 2/3
(c = 2a) c = 3
(d = 3/2a) d = 1
(e =8a/3) e = 4

[Using a = - 3/2]
(b = 1/a) b = - 2/3
(c = 2a) c = - 3
(d = 3/2a) d = - 1
(e =8a/3) e = - 4