Algebra 1 Arithmetic Sequences Name ______________ Identify the next two terms in the sequence. 1. 1, 7, 13, 19 … _______________________ 2. 1, -4, -9, -14 … _______________________ 3. 2.7, 4, 5.3, 6.6 … _______________________ 4. 6 , 4 , 3, 1 … _______________________ Find the common difference in each sequence. 5. 10, 16, 22, 28… _______________________ 6. -12, -17, -22, -27 … _______________________ 7. 4, 4 , 5, 5 … _______________________ 8. 9, 10.5, 12, 13.5 … _______________________ 9. 8, 9.1, 10.2, 11.3 … _______________________ 10. -3, -0.6, 1.8, 4.2 … _______________________ Write the function rule tn and find the fifth, tenth, and hundredth terms of each sequence. 11. 4, 14, 24, 34 …. Rule ____________________________ 5th term ___________________________ 10th term __________________________ 100th term _________________________ 12. 0, 101, 202, 303 … Rule ____________________________ 5th term ___________________________ 10th term __________________________ 100th term _________________________ 5, 3.9, 2.8, 1.7 … 13. Rule ____________________________ 5th term ___________________________ 10th term __________________________ 100th term _________________________ ,- - ,- … 14. Rule ____________________________ 5th term ___________________________ 10th term __________________________ 100th term _________________________ Determine whether each sequence is arithmetic. Justify your answer. 15. 0.5, 0.3, 0.1, -0.1… 16. 3, 6, 12, 24 … 17. Renting a backhoe costs a flat fee of $65 plus an additional $35 per hour. a. Write the first four terms of a sequence that represents the total cost of renting the backhoe for 1, 2, 3, and 4 hours. b. What is the common difference? c. What are the 5th, 24th, and 48th terms in the sequence? 18. Buses on your route run every 7 minutes from 6:30 a.m. to 10:00 a.m. You get to the bus stop at 7:56 a.m. How long will you have to wait for a bus? 19. The balance of a car loan starts at $4,500. You pay $150 each month. a. Write the first five terms of the sequence. b. Explain the fifth term in the context of the situation. c. Write the function rule. d. Find the 19th term in the sequence. 20. The zoo’s baby giraffe was born at 72 inches tall. The giraffe grows 9 inches a month for the first 4 months. a. Write the function rule. b. Find the height of the giraffe at age 4 months. c. If this rate of growth continues, how tall will the giraffe be after 24 months?