BLOCKBUSTERS Arithmetic Sequences

1. BLOCKBUSTERS Arithmetic Sequences A I Q E M B J R F N C K S G O D L T H P

2. Here are the first five terms of an arithmetic sequence. 2 5 8 11 14Write an explicit function for the nth term of the sequence. Back

3. Here are the first five terms of an arithmetic sequence. -2 -5 -8 -11 -14 What is the 10th term of this sequence? Back

4. The sum of the interior angles of a triangle is 180º, of a quadrilateral is 360º and of a pentagon is 540º. Assuming this pattern continues, find the sum of the interior angles of a dodecagon (12 sides). Back

5. Here is a pattern made from dots. What is an expression, in terms of n, for the number of dots in pattern n? Back

6. After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day? Back

7. Starting May 1, a new store will begin giving away 500 posters as a promotion. Each day, 4 posters will be given away. If the store is open 7 days a week, how many posters will the store have left when it opens for business on May 14? Back

8. A theater has 60 seats in the first row, 68 seats in the second row, 76 seats in the third row, and so on in the same increasing pattern. If the theater has 20 rows of seats, how many seats are in the 20th row of the theater? Back

9. Which term of the arithmetic sequence -3, 2, 7, 12 ... would give you 117? Back

10. Here are the first five terms of an arithmetic sequence. • 7 11 15 19 What is an expression for the nth term of this sequence? Back

11. A pile of bricks has 97 bricks in the first row, 91 bricks in the second row, 85 bricks in the third row, and so on until there is only one brick in the top row. How many bricks are in the 15th row? Back

12. Here are the first five terms of an arithmetic sequence. • 95 90 85 80 What is an expression for the nth term of this sequence? Back

13. A projectile fired vertically upward reaches a height of 1,500 feet in the first second. In one second after, it’s at a height of 1,450 feet. The following second, 1,400 feet, and so on. What is the height of the projectile after the 20 seconds? Back

14. Here are the first five terms of an arithmetic sequence. 85 77 69 61 53 What is an expression for the nth term of this sequence? Back

15. An employee is offered a $30,000 starting salary with an annual raise of $800. If she is still there in year 10, what will her salary be? Back

16. Here are the first five terms of an arithmetic sequence. 20 15 10 5 0 What is the 55th term of this sequence? Back

17. You visit the Grand Canyon and drop a penny off the edge of a cliff.  The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and so on in an arithmetic sequence.  How many feet would the object fall in 8 seconds? Back

18. Your grandmother gives you $1000 to start a college book fund. She tells you she will add $200 to the fund each month, if you will add $5 each month. After how many months will the college book fund have $5715? Back

19. The Greek theater shown below has 30 seats in the first row of the center section. Each row behind the first row gains two additional seats. How many seats are in the 12th row in the center section? Back

20. CHALLENGE: The 5th term in an arithmetic sequence is 22. The 15th term of the sequence is 62. What is the 100th term in the sequence? Back

21. CHALLENGE: The 3rd term in an arithmetic sequence is 9. The 8th term of the sequence is 24. What is the 20th term in the sequence? Back