The document discusses various types of numeric and non-numeric sequences, including natural numbers, even/odd numbers, powers of numbers, the Fibonacci sequence, prime numbers, days of the week, months of the year, and the Spanish alphabetic and numeric systems. Examples of each type of sequence are provided in multiple lines of repeating numbers.

1. SEQUENCES & SERIES Miguel Pérez Fontenla, Nov 2009

2. 1,2,3,4,5,.....

3. 1,2,3,4,5,..... ...6,7,8,......

4. 1,2,3,4,5,..... ...6,7,8,......

5. 1,2,3,4,5,..... ...6,7,8,...... Natural numbers

6. 2,4,6,8,.....

7. 2,4,6,8,..... ...10,12,14......

8. 2,4,6,8,..... ...10,12,14......

9. 2,4,6,8,..... ...10,12,14...... Even numbers

10. 1,3,5,7,.....

11. 1,3,5,7,..... ...9,11,13......

12. 1,3,5,7,..... ...9,11,13......

13. 1,3,5,7,..... ...9,11,13...... Odd numbers

14. 4,7,10,13,.....

15. 4,7,10,13,..... ...16,19,22......

16. 4,7,10,13,..... ...16,19,22......

17. 4,7,10,13,..... ...16,19,22...... Multiple of three plus one

18. 2,4,8,16,.....

19. 2,4,8,16,..... ...32,64,128.....

20. 2,4,8,16,..... ...32,64,128.....

21. 2,4,8,16,..... ...32,64,128..... Powers of two

22. 1,2,4,8,16,.....

23. 1,2,4,8,16,..... ...32,64,128.....

24. 1,2,4,8,16,..... ...32,64,128.....

25. 1,2,4,8,16,..... ...32,64,128..... Powers of two

26. 1,3,9,27,.....

27. 1,3,9,27,..... ...81,243,.....

28. 1,3,9,27,..... ...81,243,.....

29. 1,3,9,27,..... ...81,243,..... Powers of three

30. 2,5,10,17,.....

31. 2,5,10,17,..... ...26,37,.....

32. 2,5,10,17,..... ...26,37,.....

33. 2,5,10,17,..... ...26,37,..... n squared plus one

34. 1,8,27,64,.....

35. 1,8,27,64,..... ...125,216,.....

36. 1,8,27,64,..... ...125,216,.....

37. 1,8,27,64,..... ...125,216,..... n cubed

38. 2,6,12,20,.....

39. 2,6,12,20,..... ...,30,42,56,.....

40. 2,6,12,20,..... ...,30,42,56,.....

41. 2,6,12,20,..... ...,30,42,56,..... n multiplied by n plus one

45. two times n minus three divided by two

46. -1,1,-1,1,..... ...-1,1,-1,1,..... minus one to the power of n

47. 1,-1,1,-1,.....

48. 1,-1,1,-1,..... ...1,-1,1,-1,.....

49. 1,-1,1,-1,..... ...1,-1,1,-1,.....

50. 1,-1,1,-1,..... ...1,-1,1,-1,..... minus one to the power of n plus one

54. two times n divided by two times n minus one

55. and.... Other series not so easy

56. 1,0,1,0,1.....

57. 1,0,1,0,1..... ...0,1,0,1.....

58. 1,0,1,0,1..... ...0,1,0,1.....

59. 1,1,2,3,5.....

60. 1,1,2,3,5..... ...8,13,21,..... Fibonacci Sequence

61. 1,1,2,3,5..... ...8,13,21,..... Fibonacci Sequence

62. 81,27,9,.....

63. 81,27,9,..... ...3,1,1/3,.....

64. 81,27,9,..... ...3,1,1/3,.....

65. 81,27,9,..... ...3,1,1/3,..... on divided by 3 to the power of n minus five

66. 2,3,5,7,11,.....

67. 2,3,5,7,11,..... ...13,17,19,23..... prime numbers

68. 0,1,4,6,8,9,10,.....

69. 0,1,4,6,8,9,10,..... ...12,14,15,16..... no prime numbers

70. 2,-4,6,-8.....

71. 2,-4,6,-8..... ...10,-12,14,...

72. 2,-4,6,-8..... ...10,-12,14,...

73. 2,-4,6,-8..... ...10,-12,14,... minus one to the power of n plus one multiplied by two times n

75. two thirds to the power of n minus five

78. two tine 2 squared to the power of n minus one divided by four

79. and now.... Funny series

80. a,b,d,g,k.....

81. a,b,d,g,k..... ...p,v,... following the sequence 1,2,4,7,11,16,22

82. O,T,T,F,F,S,S.....

83. O,T,T,F,F,S,S..... ...,E,N,T

84. O,T,T,F,F,S,S..... ...,E,N,T One, two, three, four, five, six, seven, eight, nine, ten....

85. M,T,W,T,F.....

86. M,T,W,T,F..... ...S,S Week days

87. M,V,E,M,J.....

88. M,V,E,M,J..... ...S,N,U,P Planets Solar System Mercury, Venus, Earth, Mars, Jupiter, Saturn, Neptune, Uranus, Pluto

89. F,S,T,F,F,S,S.....

90. F,S,T,F,F,S,S..... ,E,N,T

91. J,F,M,A,M,J,J.....

92. J,F,M,A,M,J,J..... ...,A,S,O,N,D

93. 31,28,31,30,31,...

94. 31,28,31,30,31,... ...30,31,31,.. Lengths of months in days

95. 2,2,4,4,2,6,6,2,8,...

96. 2,2,4,4,2,6,6,2,8,... ...8,2,10,... Table of two

97. 5,4,2,9,8,6,...

98. 5,4,2,9,8,6,... ...7,3,1 Alphabetic Order In Spanish

99. 2,10,12,16,17,18,19,200...

100. 2,10,12,16,17,18,19,200... ...201,202,.. In Spanish they start by the “D” letter: Dos, diez, doce, dieciseis, diecisiete,dieciocho,diecinueve,doscientos....

101. 2,3,6,16,22,23,26,32,33...

102. 2,3,6,16,22,23,26,32,33... ...36,42,43,46,.. In Spanish they finish with the “S” letter: Dos, tres, seis, dieciseis, veintidos, veintitres, veintiseis, treinta y dos ....