When computed using an effective interest rate of i, it is known that the present value of $2,000 at the end of each year for 2n years plus an additional $1,000 at the end of each of the first n years is $52,800. Using this same interest rate, the present value of an n year deferred annuity-immediate paying $4,000 per year for n years is $27,400. Find n. [HINT: First find an|i and a2n|i then n and i.]