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
Grade 11
Magical Mathematics[Interesting Approach]> If a,b,c are in HP then show that a/b+c,b...
1 Answers
Arun
Last Activity: 7 Years ago
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
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