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If a ,a1,a2,a3….,a(2n) b are in A.P and ...

If `a ,a_1,a_2,a_3….,a_(2n)` b are in A.P and `a, g_1,g_2,g_3… g_(2n)` b are in G.P in and h is the H.M of a and b, the prove that
`(a_1+a_(2n))/(g_1g_(2n))+(a_2+a_(2n-1))/(g_2g_(2n-1))+...+(a_n+a_(n+1))/(g_ng_(n+1))=(2n)/h`

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