6. A sequence of numbers ro, 1, 2,. is such that xo =4 and, for each n 2 1, In = Kr-1 + 3, where K is some fixed number such that 0< K < 1. Find an explicit expression for r, in terms of n and K. What is the limiting value of z, as n tends to infinity? For which values of K will the sequence increase? For which will it decrease? For which will it be constant?

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