Question
need help with #18 step by step
1. A sequence in which each termi a from the preceding term by a constant amount is sequence. The difference called a/an between consecutive terms is called the of the sequence. 2. The h term of the sequence described in Exercise 1 4. The fi is given by the formula an and d is the where a is the 5. The f of the sequence. and EXERCISE SET 8.2 In Exerci Practice Exercises nth term in Exercises 1-14 write rhe first six rerms of each arithmetic formula. 2. au 300, 50 23, 1.5 8. d 25. 7,3 6. 200, d -60 5. at m 300, d -90 10, a N-1 4, a 11. a, am-1 10.a1 30 12. a a -1 20, a 50 31. a 33. am 13 an an-1 0,4, a 1.6 14, a an-1 0.3, a1 -17 35, Fin 4,1 In Exercises 15-22, find the indicated term of the arithmetic 30. Fin sequence with first term, a 1, and common difference, d. 7, 1 15. Find as when a 13, d 37, Fin 16. Find a when a 9, d 2. 17. Find a when a d 5. 38. Fir 18. Find a 60 when a 8, d 6. 19. Find aao when a -40, 5. 20. Find a150 when a -60, d 5. na 21. Find a60 when a 35, d -3. 40. Fi 22. Find an when a1 -32, d 4
Explanation / Answer
a1 = 8 and d=6;
In an arithmetic progression we have the formula for an as
an = a1 + (n-1) d
Substituting n=60 we get
a60 = 8 + (60-1) 6
a60 = 8 +59*6 = 8+354 = 362;
Hence a60 = 362;
