Math, asked by saffajadoon911, 3 months ago

If 1/a, 1/b, 1/c are G P show that the common ratio is +-√a/b

Answers

Answered by SiddhiBhopi
1

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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