JEE Main & Advanced Mathematics Other Series Properties of H.P.

Properties of H.P.

Category : JEE Main & Advanced

 

(1) No term of H.P. can be zero.         

 

(2) If H is the H.M. between a and b, then

 

(i) \[\frac{1}{H-a}+\frac{1}{H-b}=\frac{1}{a}+\frac{1}{b}\]

 

(ii) \[(H-2a)(H-2b)={{H}^{2}}\]     

 

(iii)          \[\frac{H+a}{H-a}+\frac{H+b}{H-b}=2\]

 

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