If a b c are in AP then prove that a(1/b+1/c) b(1/c+1/a) c(1/a+1/b) are in AP

Question : If a b c are in AP then prove that a(1/b+1/c) b(1/c+1/a) c(1/a+1/b) are in AP Proof: Given a,b,c are in AP \[2b=a+c \]to prove that \[a(1/b+1/c), b(1/c+1/a), c(1/a+1/b)\] are in AP multiplying by abc then to prove…

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