Let n 1 be a positive integer. Suppose, between two distinct positive real numbers k and l, n arithmetic means a₁, a₂, , a_n and n harmonic means h₁, h₂, , h_n are inserted. For i=1,2, , n and j=1,2, , n , let p(i, j)=a_i h_j then

Options

1. Ap(i, j)=k l for some i and j .
2. Bif n is even, there are an even number of ordered pairs (i, j) , such that p(i, j)=k l .
3. Cif n is odd, there are an even number of ordered pairs (i, j) , such that p(i, j)=k l .
4. Dwhenever n is odd there is an i such that p(i, i)=k l .