If a, b, c are in AP. Prove that 1/bc, 1/ca, 1/ab are also in AP. Arithmetic Progression

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If (b-c)square, (c-a)sq, (a-b)sq are in AP, then show that 1/(b-c), 1/(c-a), 1/(a-b) are also in AP. If (b-c)square, (c-a)sq, (a-b)sq are in AP, then show that 1/(b-c), 1/(c-a), 1/(a-b) are also in AP.
If a,b, c are in A.P. Show that 1/bc, 1/ca, 1/ab are in A.P. | Arithmetic Progression | Sequence If a,b, c are in A.P. Show that 1/bc, 1/ca, 1/ab are in A.P. | Arithmetic Progression | Sequence
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If ` 1/a,1/b,1/c` are in AP, prove that (i) ((b+c))/a, ((c+a))/b,((a+b))/c` are in AP. If ` 1/a,1/b,1/c` are in AP, prove that (i) ((b+c))/a, ((c+a))/b,((a+b))/c` are in AP.
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