r that the series is convergent or divergent? If it is convergent, find the sum. If it is divergent, explain why. ( - 5 ) " 8 7 2n2 - 1 1= 1 12 + 1 8 W tan n 6. 2 (0.6) "-1 ( n+ 1) 15 W 1=2 n(n - 1 ) 9. Let an = 3n + 1 (a) Determine whether {an } is convergent. (b) Determine whether En-1 an is convergent. 10. (a) Explain the difference between WI ai and WI (b) Explain the difference between and 11-34 1Ill Determine whether the series is convergent or divergent. If it is convergent, find its sum. 11. 3+ 2 + + 001 + .. . 12. 8 - 4+ 1 - 1 +... 13. -2+; 125 . .14. 1 + 0.4 + 0.16 + 0.064 + . .. 8 15. [ 5 (2 ) "- 1 ICAS 1=1 8 W (-6 ) "- 1 the 00 1 = 1 50-1 17. (-3) "-1 me W nt? n=1 ( V2 ) " 8 W n=0 3n+1 37-1 S 21. 8 W! 8 W! m / n=In + 5 n= 1 1 23 8 W n=2 n- - 24. 8 W ( n + 1) 2 "=1 n(n + 2) 25. 00 8 W. N k2 - 1 26. n=In- + 4n + 3 00 3" + 2" 8 28. E [(0.8)"-1 -(0.3)"] n= 1 n= 1 00 8 29. "/2 30. _ In n=1 n=1 2n + 5 8 W _ arctan n 8 WI (cos 1)* n= 1 on in + 8 71 + 8 W ! 34. n(n + 3) 35-40 llll Express the number as a ratio of integers. ergent 36. 0.73 = 0.73737373... 02 = 0.2222 ...ly. TT " 19. 20. M 8 en n=0 3n+1 1 1 3"-1 00 21. n 22. 3 n=in+ 5 00 23. 2 24. ( n + 1 ) 2 n=2 n- - 1 "=1 n(n + 2) 00 K 2 25. 26. Z 2 * = 2 k2 - 1 n=in+ 4n + 3 00 3" + 2" 27. 28. E [(0.8) "-1 - (0.3) "] n=1 6 n=1 00 00 29. > "/2 30. _ In n n=1 n=1 2n + 5 00 31. > arctan n 32. _ (cos 1)k n= 1 k-1 3 UI 3 33. IM 8 + 34. n(n + 3) 5n S n=1 n= 35-40 llll Express the number as a ratio of integers. ent. 35. 0.2 = 0.2222 ... 36. 0.73 = 0.73737373... 37. 3.417 = 3.417417417 ... 38. 6.254 39. 0.123456 40. 5.6021