1. (a) In a series of 40 payments the first 10 payments are N$10 each, the second 10 payments are N$20 each, the third ten payments are N$30 each, and the final ten payments are N$40 each. The payments are equally spaced and the interest rate is 5% per payment period. Find the accumulated value at the time of the final payment. (b) Show that the accumulated value of the series is equal to 10[S1070.05+S2070.05+S3070.05+S4070.05] 2. To accumulate N$8000 at the end of 3n years, deposits of N$98 are made at the end of each of the first n years and N$196 at the end of each of the next 2n years. The effective annual rate of interest is i. You are given (1+i)n=2.0 Determine i. 3. Given that S100.10=W, find the value of t=110Sf0.10 in terms of W. 4. (a) If Sn=70 and S2n=210, find the values of (1+i)ni, and S3n. (b) If S3n=X and Sn=Y, express vn in terms of X,Y and constants. (c) If Sn=48.99,Sn2=36.34, and i>0, find