348 . Chapter 8 - Sequence and Series 13. List the first seven numbers of the Fibonacci 12. If to is a term of an arithmetic sequence, what is sequence d1 = 1, a2 = 1, an = an-1 + am-2, n > 2. In - tn-1 equal to? 14. The starting salary of an employee is $23 750. 15. An auditorium has 8 seats in the first row. Each If each year a $1250 raise is given, in how many subsequent row has 4 more seats than the previous years will the employee's salary be $50 000? row. What row has 140 seats? 16. A well drilling company charges $8.00 for the first 17. It is said that during the last weeks of his life meter, then $8.75 for the second meter, and so on Abraham deMoivre needed 15 minutes more sleep in an arithmetic sequence. At this rate, what would each night, and when he needed 24 hours sleep he be the cost to drill the last meter of a well 120 would die. If he needed 8 hours sleep on meters deep? September 1, what day did he die? The first three terms of an arithmetic sequence are 19. The first, third, and fifth terms of an arithmetic x - 3, 25 + 9, and 3x - 11. Determine the fourth sequence are 2x - 1, x2 - 3, and 11 - x2 term. respectively. Determine the second term. Crescent Beach Publishing. No part of this publication may be reproduced without210 520 = 20 (1 + 20 ) Section 8.2 - Arithmetic Series . 355 7 . What is the last element in the 20th row? 8. +2 +3 + 4 -5 How many terms of the arithmetic series 1 1316, 10, 15 1491 + 1484 + 1477 + ... are needed to give a sum of zero? 4 5 6 3 7 8 9 a siformans heel . . 20 1+ 2 + 3 +4 :1+20 = 210 numbers tzoo = 1+ ( 210 - 1) 1 two = 1 210 9. An auditorium has eight seats in the first row. 10./ If $1000 is deposited into the bank the day a child Each subsequent row has four more seats than the is born, and $100 more than the previous deposit is previous row. How many seats are there in the made each year until the child's 18th birthday, 50th row of the auditorium? how much will be in the account, excluding interest? of three consecutive terms of an