SWBA T: Write the terms of an arithmetic sequence. Write arithmetic sequences as functions. Lesson 7A -6 Do Now: 1) Write a rule for each arithmetic sequence. Then find a3 0. a) 4, 7, 10, 13… b) -2, -6, -10, -14…. Given two terms in a sequence write an equation for the nth term 1) a) The 4th term of a sequence is 80 and the 12th term is 32. Write an equation for the nth term of the sequence. 1 SWBA T: Write the terms of an arithmetic sequence. Write arithmetic sequences as functions. Lesson 7A -6 b) The 2nd term of a sequence is 5.25 and the 10th term is –0.75. Write an equation for the nth term of the sequence. c) The 3rd term of a sequence is 39 and the 20th term is 260. Write an equation for the nth term of the sequence. 2 SWBA T: Write the terms of an arithmetic sequence. Write arithmetic sequences as functions. Lesson 7A -6 Arithmetic Sequence Word Problems 2) Leslie, a very perceptive young lady, noticed that the number of text messages she received over the course of two months formed an arithmetic sequence. If she received 13 messages on day 3 and 64 messages on day 20: a) How many messages did she receive on day 12? b) How many messages did she receive on day 50? 3) In an auditorium, the first row of seats has 30 seats. Each row behind the first row has 4 more seats than the row in front of it. How many seats are in the 25th row? 3 SWBA T: Write the terms of an arithmetic sequence. Write arithmetic sequences as functions. Lesson 7A -6 4) 5) 4 SWBA T: Write the terms of an arithmetic sequence. Write arithmetic sequences as functions. Lesson 7A -6 LESSON PRACTICE In Exercises 9 & 10, find the common difference of the arithmetic sequence. 9. 6 .5, 5, 3.5, 2, . . . 10. − 16, −7, 2, 11, . . . In Exercises 14 & 15, write the next three terms of the arithmetic sequence. 14. 6 0, 30, 0, −30, . . . 15. 1 .3, 1, 0.7, 0.4, . . . In Exercises 27 & 29, determine whether the sequence is arithmetic. If so, find the common difference. 27. 1 3, 26, 39, 52, . . . 29. 4 8, 24, 12, 6, . . . 42. The first row of a dominoes display has 10 dominoes. Each row after the first has two more dominoes than the row before it. Write the first five terms of the sequence that represents the number of dominoes in each row. 45. The total number of babies born in a country each minute after midnight January 1st can be estimated by the sequence shown in the table. a. W rite a function that represents the arithmetic sequence. b. E stimate how many minutes after midnight January 1st it takes for 100 babies to be born. 5 SWBA T: Write the terms of an arithmetic sequence. Write arithmetic sequences as functions. Lesson 7A -6 LESSON PRACTICE ANSWER KEY 6 SWBA T: Write the terms of an arithmetic sequence. Write arithmetic sequences as functions. Lesson 7A -6 7
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