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Mathematics
Problem
25. If
a
,
b
,
c
a, b, c
a
,
b
,
c
and
d
d
d
are in G.P. show that
(
a
2
+
b
2
+
c
2
)
(
b
2
+
c
2
+
d
2
)
=
(
a
b
+
b
c
+
c
d
)
2
\left(a^{2}+b^{2}+c^{2}\right)\left(b^{2}+c^{2}+d^{2}\right)=(a b+b c+c d)^{2}
(
a
2
+
b
2
+
c
2
)
(
b
2
+
c
2
+
d
2
)
=
(
ab
+
b
c
+
c
d
)
2
.
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