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Question

If a,b,c are in A.P. then prove that 1bc,1ca,1ab are also in A.P

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Solution

It is given that a,b,c are in A.P.

Divide each term by abc, so we get,
aabc,babc,cabc are also in A.P
Now by simplifying we get,
1bc,1ac,1ab are in A.P
Hence proved.

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