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If a ,b ,c in R+ form an A.P., then pro...

If `a ,b ,c in R+` form an A.P., then prove that `a+1//(b c),b+1//(1//a c),c+1//(a b)` are also in A.P.

Text Solution

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a,b,c are in A.P.
`rArr1/(bc),1/(ca),1/(ab)` are also in A.P [Dividing by abc]
`rArra+1/(bc),b+1/(ca),c+1/(ab)` will also be in A.P.
`[because` Sum of two A.P.'s is also an A.P]
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