{T₀, T₁, T₂,..., T₁₉₉₅} is a sequence of positive real numbers with T₀ = T₁₉₉₅, that satisfies this set of equations:

T_i-1 + 2*(T_i-1)^-1 = 2*T_i + (T_i)^-1, for all i=1, 2,...., 1995

Determine the maximum value of T₀.