1. Give an example of an arithmetic sequence such that the 35th term is 4,207? I used the general form of an arithmetic seq. an = a1 + (n-1)d and found that, a1 = 25, and d = 123 Does this look ok? I had to use some trial and error since we have two unknowns. 2. What is the 57th smallest whole number that has a remainder of 2 when it is divisible by 4 and 6. I am getting 686. 3. Mark saved money in his bank. The first month he put 11$ in the bank. Every month thereafter he deposited more money, and it was the same amount each month. When he counted the money he totaled 195.00$ .What are possible amounts of money he could have deposited each month? Solution: Lets assume that he continued to deposit for m number of months after the first month. Also lets assume that he deposited x dollars each month. I am feeling something is missing in this problem. Anyway this is how I did this. 195 = 11 + m * x m * x = 184 x = 184/m where m is a whole number. The possible values of money deposited are 184/m where m = 1,2,3,4,…………………. Some possible values for the money deposited are: $184, $92, $61.3, $46, ……….. Thanks a lot, Gamma.