If a,b,c are in HP then show that a/b+c,b/c+a,c/a+

Question

If a,b,c are in HP then show that a/b+c,b/c+a,c/a+b in HP

Arun · Accepted Answer

we can use reverse process here i.e.let us assume the part which should be proved is right now we will prove the given part.hence (b+c)/a,(a+c)/b,(a+b)/c will be in a.p. so (b+c)/a+1,(a+c)/b+1,(a+b)/c+1 also in a.p =(a+b+c)/a,(a+b+c)/b,(a+b+c)/c so1/a,1/b,1/c will be in ap so a,b,c will be in h.p

Magical Mathematics[Interesting Approach]> If a,b,c are in HP then show that a/b+c,b...

If a,b,c are in HP then show that a/b+c,b/c+a,c/a+b in HP

Mohammad Zubair , 7 Years ago

Arun

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If a,b,c are in HP then show that a/b+c,b/c+a,c/a+b in HP

Mohammad Zubair , 7 Years ago

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