Name enVision Algebra 3-4 Additional Practice PearsonRealize.com Arithmetic Sequences Tell whether or not each sequence is an arithmetic sequence. If it is an arithmetic sequence, give the common difference. 1. 4, 8, 12, 16, ... 2. -11, 5, 0, 6, ... 3. 12, 23, 34, 45, ... Write a recursive formula and an explicit formula for each arithmetic sequence. 7. 9, 15, 21, 27, ... 8. 1.5, 2.25, 3, 3.75 , ... 9 . 7 , 0 , - 7 , - 14 , ... Recursive: Recursive: Recursive: Explicit: Explicit: Explicit: Write an explicit formula for each recursive formula and a recursive formula for each explicit formula. 9. an = 15 + 4n 7. a1 = 5 8. a1 = -8 an = an - 1 + 3 an = an - 1 - 3 10. You are given the first four terms of an arithmetic sequence. Under what conditions might a recursive formula be preferred over the explicit formula? Under what conditions might an explicit formula be preferred over the recursive formula? 11. You open a savings account with a $400 deposit. Each month after that, you deposit $25. Write an explicit rule to represent the amount of money you deposit into your savings account. How much money will you have in the account in month 12? enVision TM Algebra 1 . Teaching Resources