Sequences and Series

1. For the arithmetic sequence, state the following: 58, 73, 88, . a. The recursive formula b. The general term c. Calculate tso 2. Determine whether each sequence is arithmetic, geometric, or neither. a. 5,15, 45, ... b. 0,3,8,... c. 288, 14.4, 0.72, ... d. 10, 50,90, ... 3. For the geometric sequence where a = 12, r = 2, determine the following: a. The recursive formula b. The general term c. The first 5 terms in the sequence7. For the geometric series, calculate to and S. [A: 4] 11 + 33 + 99 + .. 8. A catering company has 15 customer orders during its first month. For each month afterward, the company has double the number of orders than the previous month. How many orders in total did the company fill at the end of its first year? [T/1:3]4. Guy purchased a rare stamp for $820 in 2001. If the value of the stamp increases by 10% per year, how much will the stamp be worth in 2010? [T/1: 4] 5. For the arithmetic series, calculate the sum of the first 50 terms. [A: 2] 31 +52 + 73 + ... 6. Calculate the sum of the series. [T/1: 5] 1+ 13 + 25 + ... + 145