If 1/a, 1/b, 1/c are G P show that the common ratio is +-√a/b
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Answer:
Hence it is proved that, 1/a,1/b,1/c are in G.P.
Step-by-step explanation:
If a, b, c are in G.P. show that 1/a, 1/b, 1/c are also in G.P.
From the question it is given that,
a,b,c are in G.P.
We know that, b
2
=ac
We have to show that, 1/a,1/b,1/c are also in G.P.
(1/b)
2
=(1/a)×(1/c)
(1/b
2
)=(1/ac)
By cross multiplication we get, ac=b
2
Hence it is proved that, 1/a,1/b,1/c are in G.P.
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