Question

If H1,H2 are the harmonic means of a,b then H1+H2/H1-2​

Answer 1

Take a look at the attached pic...☻

Answer 2

Answer:

ie. 1 1

----- , ----.... are n arithmetic means

H1 H2

1 1

between ---- , ----

a b

now we can write

1 1

d = --- – ----

H1 a

1 1

d = ---- – -----

b Hn

now substitute H1 – a and Hn – b in the expression ,we get

1 1 1 1 1

--- × ( ---- – ----+ ----- – ------)

d b a Hn H1

1 1

(n+1) + (n-1) { since ---- – ---- = d(n+1)

b a

= 2n