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if a , b and c are in ap then show that 1/a ,1/b and 1/c are in hp??

if a , b and c are in ap then show that 1/a ,1/b and 1/c are in hp??

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Grade:11

1 Answers

Arun
25750 Points
5 years ago
Dear student
 
Let assume 1/a, 1/b, 1/c in h.p.
 
1/b = 2/ac /a+c/ac
 
Then
 
1/b = 2/a +c
 
Then
 
2b = a+ c
Hence 
a,b, c are in A.P.

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