Interactive Algebra & Trigonometry - A Self Guided Study Companion

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`1%`	dexvert	JuggleKrazy Tutorial `(other/juggleKrazyTutorial)`	ext	Unsupported
`100%`	file	data	default
`100%`	gt2	Kopftext: 'TUTOR 06'	default (weak)
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|00000dd0| 63 74 69 6f 6e 20 31 31 | 2e 31 20 20 53 65 71 75 |ction 11|.1  Sequ|
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|00000e00| 20 20 20 20 20 20 20 20 | 20 20 20 20 11 32 37 20 |        |    .27 |
|00000e10| 20 11 34 28 20 20 29 0d | 0b 00 20 20 20 20 20 20 | .4(  ).|..      |
|00000e20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000e30| 20 20 20 21 11 31 32 11 | 33 69 11 34 21 0d 0b 00 |   !.12.|3i.4!...|
|00000e40| 11 31 46 69 6e 64 20 74 | 68 65 20 73 75 6d 2e 20 |.1Find t|he sum. |
|00000e50| 20 20 20 20 20 20 20 20 | 11 34 45 20 20 21 32 32 |        |.4E  !22|
|00000e60| 21 0d 0b 00 20 20 20 20 | 20 20 20 20 20 20 20 20 |!...    |        |
|00000e70| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 21 20 11 |        |     ! .|
|00000e80| 31 35 11 34 21 0d 0b 00 | 20 20 20 20 20 20 20 20 |15.4!...|        |
|00000e90| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 32 69 |        |     .2i|
|00000ea0| 3d 33 20 11 34 39 20 20 | 30 0d 0a 00 11 31 13 12 |=3 .49  |0....1..|
|00000eb0| 31 53 4f 4c 55 54 49 4f | 4e 12 30 0d 0a 00 0d 0b |1SOLUTIO|N.0.....|
|00000ec0| 00 42 79 20 6c 65 74 74 | 69 6e 67 20 11 33 69 20 |.By lett|ing .3i |
|00000ed0| 11 31 74 61 6b 65 20 6f | 6e 20 73 75 63 63 65 73 |.1take o|n succes|
|00000ee0| 73 69 76 65 20 76 61 6c | 75 65 73 20 66 72 6f 6d |sive val|ues from|
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|00000f00| 69 6e 20 74 68 65 20 66 | 6f 6c 6c 6f 77 69 6e 67 |in the f|ollowing|
|00000f10| 2e 0d 0a 00 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |....... |        |
|00000f20| 20 20 20 20 20 20 20 20 | 20 11 32 37 20 20 11 34 |        | .27  .4|
|00000f30| 28 20 20 29 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |(  )... |        |
|00000f40| 20 20 20 20 20 20 20 20 | 20 20 20 20 21 11 31 32 |        |    !.12|
|00000f50| 11 33 69 11 34 21 20 20 | 20 11 31 32 28 33 29 20 |.3i.4!  | .12(3) |
|00000f60| 20 20 32 28 34 29 20 20 | 20 32 28 35 29 20 20 20 |  2(4)  | 2(5)   |
|00000f70| 32 28 36 29 20 20 20 32 | 28 37 29 0d 0b 00 20 20 |2(6)   2|(7)...  |
|00000f80| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00000f90| 11 34 45 20 20 21 32 32 | 21 20 11 31 3d 20 11 34 |.4E  !22|! .1= .4|
|00000fa0| 32 32 32 32 20 11 31 2b | 20 11 34 32 32 32 32 20 |2222 .1+| .42222 |
|00000fb0| 11 31 2b 20 11 34 32 32 | 32 32 20 11 31 2b 20 11 |.1+ .422|22 .1+ .|
|00000fc0| 34 32 32 32 32 20 11 31 | 2b 20 11 34 32 32 32 32 |42222 .1|+ .42222|
|00000fd0| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|00000fe0| 20 20 20 20 20 20 20 20 | 21 20 11 31 35 11 34 21 |        |! .15.4!|
|00000ff0| 20 20 20 20 20 11 31 35 | 20 20 20 20 20 20 35 20 |     .15|      5 |
|00001000| 20 20 20 20 20 35 20 20 | 20 20 20 20 35 20 20 20 |     5  |    5   |
|00001010| 20 20 20 35 0d 0b 00 20 | 20 20 20 20 20 20 20 20 |   5... |        |
|00001020| 20 20 20 20 20 20 20 20 | 11 32 69 3d 33 20 11 34 |        |.2i=3 .4|
|00001030| 39 20 20 30 20 20 20 20 | 20 20 20 20 20 20 20 20 |9  0    |        |
|00001040| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001050| 20 20 20 20 20 20 20 11 | 31 13 0d 0a 00 20 20 20 |       .|1....   |
|00001060| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001070| 20 20 20 20 20 20 20 20 | 20 36 20 20 20 38 20 20 |        | 6   8  |
|00001080| 20 31 30 20 20 20 31 32 | 20 20 20 31 34 0d 0b 00 | 10   12|   14...|
|00001090| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000010a0| 20 20 20 20 20 20 20 20 | 20 20 3d 20 11 34 32 20 |        |  = .42 |
|000010b0| 11 31 2b 20 11 34 32 20 | 11 31 2b 20 11 34 32 32 |.1+ .42 |.1+ .422|
|000010c0| 20 11 31 2b 20 11 34 32 | 32 20 11 31 2b 20 11 34 | .1+ .42|2 .1+ .4|
|000010d0| 32 32 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |22...   |        |
|000010e0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000010f0| 20 11 31 35 20 20 20 35 | 20 20 20 20 35 20 20 20 | .15   5|    5   |
|00001100| 20 35 20 20 20 20 35 13 | 0d 0a 00 0d 0b 00 20 20 | 5    5.|......  |
|00001110| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001120| 20 20 20 20 20 20 20 20 | 20 20 35 30 0d 0b 00 20 |        |  50... |
|00001130| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001140| 20 20 20 20 20 20 20 20 | 20 3d 20 11 34 32 32 0d |        | = .422.|
|00001150| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |..      |        |
|00001160| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 |        |       .|
|00001170| 31 35 13 0d 0a 00 0d 0b | 00 20 20 20 20 20 20 20 |15......|.       |
|00001180| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001190| 20 20 20 3d 20 31 30 0d | 0a 00 53 65 63 74 69 6f |   = 10.|..Sectio|
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|000011b0| 73 20 61 6e 64 20 53 75 | 6d 6d 61 74 69 6f 6e 0d |s and Su|mmation.|
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|00001200| 20 20 20 21 20 11 32 32 | 20 20 20 11 31 31 11 34 |   ! .22|   .11.4|
|00001210| 21 0d 0b 00 11 31 46 69 | 6e 64 20 74 68 65 20 73 |!....1Fi|nd the s|
|00001220| 75 6d 2e 20 20 20 20 20 | 20 20 20 20 11 34 45 20 |um.     |    .4E |
|00001230| 20 21 11 33 6b 20 20 11 | 31 2b 20 11 34 32 21 0d | !.3k  .|1+ .42!.|
|00001240| 0b 00 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |..      |        |
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|00001260| 20 11 33 6b 11 34 21 0d | 0b 00 20 20 20 20 20 20 | .3k.4!.|..      |
|00001270| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 |        |       .|
|00001280| 32 6b 3d 31 20 11 34 39 | 20 20 20 20 20 20 30 0d |2k=1 .49|      0.|
|00001290| 0a 00 11 31 13 12 31 53 | 4f 4c 55 54 49 4f 4e 12 |...1..1S|OLUTION.|
|000012a0| 30 0d 0a 00 0d 0b 00 20 | 20 20 20 20 11 32 34 20 |0...... |    .24 |
|000012b0| 20 11 34 28 20 20 20 20 | 20 20 29 20 20 20 28 20 | .4(    |  )   ( |
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|000012e0| 20 20 20 20 20 20 29 0d | 0b 00 20 20 20 20 20 20 |      ).|..      |
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|00001300| 20 20 20 21 20 11 32 32 | 20 20 20 11 31 31 11 34 |   ! .22|   .11.4|
|00001310| 21 20 20 20 21 20 11 32 | 32 20 20 20 11 31 31 11 |!   ! .2|2   .11.|
|00001320| 34 21 20 20 20 21 20 11 | 32 32 20 20 20 11 31 31 |4!   ! .|22   .11|
|00001330| 11 34 21 20 20 20 21 20 | 11 32 32 20 20 20 11 31 |.4!   ! |.22   .1|
|00001340| 31 11 34 21 0d 0b 00 20 | 20 20 20 20 45 20 20 21 |1.4!... |    E  !|
|00001350| 11 33 6b 20 20 11 31 2b | 20 11 34 32 21 20 11 31 |.3k  .1+| .42! .1|
|00001360| 3d 20 11 34 21 11 31 31 | 20 20 2b 20 11 34 32 21 |= .4!.11|  + .42!|
|00001370| 20 11 31 2b 20 11 34 21 | 11 31 32 20 20 2b 20 11 | .1+ .4!|.12  + .|
|00001380| 34 32 21 20 11 31 2b 20 | 11 34 21 11 31 33 20 20 |42! .1+ |.4!.13  |
|00001390| 2b 20 11 34 32 21 20 11 | 31 2b 20 11 34 21 11 31 |+ .42! .|1+ .4!.1|
|000013a0| 34 20 20 2b 20 11 34 32 | 21 0d 0b 00 20 20 20 20 |4  + .42|!...    |
|000013b0| 20 20 20 20 21 20 20 20 | 20 20 11 33 6b 11 34 21 |    !   |  .3k.4!|
|000013c0| 20 20 20 21 20 20 20 20 | 20 11 31 31 11 34 21 20 |   !    | .11.4! |
|000013d0| 20 20 21 20 20 20 20 20 | 11 31 32 11 34 21 20 20 |  !     |.12.4!  |
|000013e0| 20 21 20 20 20 20 20 11 | 31 33 11 34 21 20 20 20 | !     .|13.4!   |
|000013f0| 21 20 20 20 20 20 11 31 | 34 11 34 21 0d 0b 00 20 |!     .1|4.4!... |
|00001400| 20 20 20 11 32 6b 3d 31 | 20 11 34 39 20 20 20 20 |   .2k=1| .49    |
|00001410| 20 20 30 20 20 20 39 20 | 20 20 20 20 20 30 20 20 |  0   9 |     0  |
|00001420| 20 39 20 20 20 20 20 20 | 30 20 20 20 39 20 20 20 | 9      |0   9   |
|00001430| 20 20 20 30 20 20 20 39 | 20 20 20 20 20 20 30 11 |   0   9|      0.|
|00001440| 31 13 0d 0a 00 20 20 20 | 20 20 20 20 20 20 20 20 |1....   |        |
|00001450| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001460| 20 20 20 20 31 20 20 20 | 20 20 20 20 31 20 20 20 |    1   |    1   |
|00001470| 20 20 20 20 20 31 0d 0b | 00 20 20 20 20 20 20 20 |     1..|.       |
|00001480| 20 20 20 20 20 20 20 20 | 20 20 3d 20 31 20 2b 20 |        |  = 1 + |
|00001490| 31 20 2b 20 34 20 2b 20 | 11 34 32 20 11 31 2b 20 |1 + 4 + |.42 .1+ |
|000014a0| 39 20 2b 20 11 34 32 20 | 11 31 2b 20 31 36 20 2b |9 + .42 |.1+ 16 +|
|000014b0| 20 11 34 32 0d 0b 00 20 | 20 20 20 20 20 20 20 20 | .42... |        |
|000014c0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|000014d0| 20 20 20 20 20 20 11 31 | 32 20 20 20 20 20 20 20 |      .1|2       |
|000014e0| 33 20 20 20 20 20 20 20 | 20 34 13 0d 0a 00 0d 0b |3       | 4......|
|000014f0| 00 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |.       |        |
|00001500| 20 20 20 20 20 20 20 20 | 20 31 20 20 20 31 20 20 |        | 1   1  |
|00001510| 20 31 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 | 1...   |        |
|00001520| 20 20 20 20 20 20 3d 20 | 33 31 20 2b 20 11 34 32 |      = |31 + .42|
|00001530| 20 11 31 2b 20 11 34 32 | 20 11 31 2b 20 11 34 32 | .1+ .42| .1+ .42|
|00001540| 0d 0b 00 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |...     |        |
|00001550| 20 20 20 20 20 20 20 20 | 20 20 20 11 31 32 20 20 |        |   .12  |
|00001560| 20 33 20 20 20 34 13 0d | 0a 00 0d 0b 00 20 20 20 | 3   4..|.....   |
|00001570| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001580| 33 37 32 20 20 20 20 36 | 20 20 20 20 34 20 20 20 |372    6|    4   |
|00001590| 20 33 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 | 3...   |        |
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|000015b0| 2b 20 11 34 32 32 20 11 | 31 2b 20 11 34 32 32 20 |+ .422 .|1+ .422 |
|000015c0| 11 31 2b 20 11 34 32 32 | 0d 0b 00 20 20 20 20 20 |.1+ .422|...     |
|000015d0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 11 |        |       .|
|000015e0| 31 31 32 20 20 20 31 32 | 20 20 20 31 32 20 20 20 |112   12|   12   |
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|00001600| 20 20 20 20 20 20 20 20 | 20 20 20 20 33 38 35 0d |        |    385.|
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|00001630| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001640| 20 11 31 31 32 0d 0a 00 | 53 65 63 74 69 6f 6e 20 | .112...|Section |
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|00001660| 61 6e 64 20 53 75 6d 6d | 61 74 69 6f 6e 0d 0b 00 |and Summ|ation...|
|00001670| 57 72 69 74 65 20 61 6e | 20 65 78 70 72 65 73 73 |Write an| express|
|00001680| 69 6f 6e 20 66 6f 72 20 | 74 68 65 20 11 33 6e 11 |ion for |the .3n.|
|00001690| 31 74 68 20 74 65 72 6d | 20 6f 66 20 74 68 65 20 |1th term| of the |
|000016a0| 73 65 71 75 65 6e 63 65 | 20 62 65 6c 6f 77 2e 20 |sequence| below. |
|000016b0| 20 41 73 73 75 6d 65 20 | 11 33 6e 20 11 31 62 65 | Assume |.3n .1be|
|000016c0| 67 69 6e 73 0d 0a 00 77 | 69 74 68 20 31 2e 0d 0a |gins...w|ith 1...|
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|00001710| 32 11 31 2c 20 2d 11 34 | 32 32 11 31 2c 20 11 34 |2.1, -.4|22.1, .4|
|00001720| 32 32 32 11 31 2c 20 2e | 2e 2e 0d 0b 00 20 20 20 |222.1, .|.....   |
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|00001740| 32 20 20 36 20 20 20 32 | 34 20 20 31 32 30 0d 0a |2  6   2|4  120..|
|00001750| 00 13 12 31 53 4f 4c 55 | 54 49 4f 4e 12 30 0d 0a |...1SOLU|TION.0..|
|00001760| 00 0d 0b 00 53 69 6e 63 | 65 20 74 68 65 20 74 65 |....Sinc|e the te|
|00001770| 72 6d 73 20 6f 66 20 74 | 68 69 73 20 73 65 71 75 |rms of t|his sequ|
|00001780| 65 6e 63 65 20 61 6c 74 | 65 72 6e 61 74 65 20 69 |ence alt|ernate i|
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|000017a0| 66 69 72 73 74 20 74 65 | 72 6d 20 69 73 0d 0a 00 |first te|rm is...|
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|000017f0| 70 6f 73 69 74 69 76 65 | 2c 20 77 65 20 6b 6e 6f |positive|, we kno|
|00001800| 77 20 74 68 61 74 20 65 | 61 63 68 20 74 65 72 6d |w that e|ach term|
|00001810| 20 69 73 20 6d 75 6c 74 | 69 70 6c 69 65 64 20 62 | is mult|iplied b|
|00001820| 79 20 28 2d 31 29 20 20 | 20 2e 0d 0a 00 20 20 20 |y (-1)  | ....   |
|00001830| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
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|000018d0| 64 20 74 68 65 20 64 65 | 6e 6f 6d 69 6e 61 74 6f |d the de|nominato|
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|00001a50| 20 20 20 20 20 20 20 20 | 20 11 31 2e 0d 0a 00 53 |        | .1....S|
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|00001a70| 75 65 6e 63 65 73 20 61 | 6e 64 20 53 75 6d 6d 61 |uences a|nd Summa|
|00001a80| 74 69 6f 6e 0d 0b 00 57 | 72 69 74 65 20 61 6e 20 |tion...W|rite an |
|00001a90| 65 78 70 72 65 73 73 69 | 6f 6e 20 66 6f 72 20 74 |expressi|on for t|
|00001aa0| 68 65 20 11 33 6e 11 31 | 74 68 20 74 65 72 6d 20 |he .3n.1|th term |
|00001ab0| 6f 66 20 74 68 65 20 73 | 65 71 75 65 6e 63 65 20 |of the s|equence |
|00001ac0| 62 65 6c 6f 77 2e 20 20 | 41 73 73 75 6d 65 20 11 |below.  |Assume .|
|00001ad0| 33 6e 20 11 31 62 65 67 | 69 6e 73 0d 0a 00 77 69 |3n .1beg|ins...wi|
|00001ae0| 74 68 20 31 2e 0d 0a 00 | 20 20 20 20 20 20 20 20 |th 1....|        |
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|00001b00| 20 20 20 20 20 20 32 20 | 20 20 20 20 20 20 33 20 |      2 |      3 |
|00001b10| 20 20 20 20 20 20 34 0d | 0b 00 20 20 20 20 20 20 |      4.|..      |
|00001b20| 20 20 20 20 20 20 20 20 | 20 20 11 34 32 20 11 31 |        |  .42 .1|
|00001b30| 2d 20 31 2c 20 11 34 32 | 20 11 31 2d 20 31 2c 20 |- 1, .42| .1- 1, |
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|00001b50| 11 31 2d 20 31 2c 20 11 | 34 32 32 20 11 31 2d 20 |.1- 1, .|422 .1- |
|00001b60| 31 2c 20 2e 2e 2e 0d 0b | 00 20 20 20 20 20 20 20 |1, .....|.       |
|00001b70| 20 20 20 20 20 20 20 20 | 20 31 20 20 20 20 20 20 |        | 1      |
|00001b80| 34 20 20 20 20 20 20 39 | 20 20 20 20 20 20 31 36 |4      9|      16|
|00001b90| 20 20 20 20 20 20 32 35 | 0d 0a 00 13 12 31 53 4f |      25|.....1SO|
|00001ba0| 4c 55 54 49 4f 4e 12 30 | 0d 0a 00 0d 0b 00 20 20 |LUTION.0|......  |
|00001bb0| 20 20 20 30 20 20 20 20 | 20 20 20 20 20 20 20 20 |   0    |        |
|00001bc0| 20 20 20 31 20 20 20 20 | 20 20 20 20 20 20 20 20 |   1    |        |
|00001bd0| 20 20 20 32 20 20 20 20 | 20 20 20 20 20 20 20 20 |   2    |        |
|00001be0| 20 20 20 20 33 20 20 20 | 20 20 20 20 20 20 20 20 |    3   |        |
|00001bf0| 20 20 20 20 20 34 0d 0b | 00 11 33 61 20 20 11 31 |     4..|..3a  .1|
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|00001c10| 20 11 33 61 20 20 11 31 | 3d 20 11 34 32 20 11 31 | .3a  .1|= .42 .1|
|00001c20| 2d 20 31 20 20 20 20 20 | 20 11 33 61 20 20 11 31 |- 1     | .3a  .1|
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|00001c40| 20 11 33 61 20 20 11 31 | 3d 20 11 34 32 32 20 11 | .3a  .1|= .422 .|
|00001c50| 31 2d 20 31 20 20 20 20 | 20 20 11 33 61 20 20 11 |1- 1    |  .3a  .|
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|00001c70| 20 11 32 31 20 20 20 11 | 31 31 20 20 20 20 20 20 | .21   .|11      |
|00001c80| 20 20 20 20 20 11 32 32 | 20 20 20 11 31 34 20 20 |     .22|   .14  |
|00001c90| 20 20 20 20 20 20 20 20 | 20 11 32 33 20 20 20 11 |        | .23   .|
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|00001cc0| 20 20 11 32 35 20 20 20 | 11 31 32 35 0d 0a 00 0d |  .25   |.125....|
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|00001d90| 20 11 34 32 20 11 31 2d | 20 31 2e 0d 0b 00 20 20 | .42 .1-| 1....  |
|00001da0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00001db0| 20 20 20 11 32 6e 20 20 | 20 11 31 12 31 3f 12 30 |   .2n  | .1.1?.0|
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|00001e00| 20 54 68 65 72 65 66 6f | 72 65 2c 20 77 65 20 68 | Therefo|re, we h|
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|00001e20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 33 6e |        |     .3n|
|00001e30| 20 11 31 2d 20 31 0d 0b | 00 20 20 20 20 20 20 20 | .1- 1..|.       |
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|00001e60| 31 2e 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |1....   |        |
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|00001e80| 11 31 12 31 3f 12 30 0d | 0a 00 0c 0d 0b 00 54 68 |.1.1?.0.|......Th|
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|00001ef0| 2c 20 33 20 2c 20 34 20 | 2c 20 2e 2e 2e 29 2e 20 |, 3 , 4 |, ...). |
|00001f00| 20 54 68 65 72 65 66 6f | 72 65 2c 20 77 65 20 68 | Therefo|re, we h|
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|00001f20| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 33 6e |        |     .3n|
|00001f30| 20 11 31 2d 20 31 0d 0b | 00 20 20 20 20 20 20 20 | .1- 1..|.       |
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|00001f50| 11 31 3d 20 11 34 32 32 | 32 32 32 20 11 31 2d 20 |.1= .422|222 .1- |
|00001f60| 31 2e 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 |1....   |        |
|00001f70| 20 20 20 20 20 20 20 20 | 11 32 6e 20 20 20 20 20 |        |.2n     |
|00001f80| 20 32 0d 0b 00 20 20 20 | 20 20 20 20 20 20 20 20 | 2...   |        |
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|00001fb0| 20 20 53 65 71 75 65 6e | 63 65 73 20 61 6e 64 20 |  Sequen|ces and |
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|00001fd0| 73 75 6d 6d 61 74 69 6f | 6e 20 6e 6f 74 61 74 69 |summatio|n notati|
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|00002010| 20 28 32 20 11 34 2a 20 | 11 31 33 29 20 2b 20 28 | (2 .4* |.13) + (|
|00002020| 33 20 11 34 2a 20 11 31 | 34 29 20 2b 20 28 34 20 |3 .4* .1|4) + (4 |
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|00002040| 20 11 31 2b 20 28 31 30 | 20 11 34 2a 20 11 31 31 | .1+ (10| .4* .11|
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|000021a0| 0d 0a 00 74 68 65 72 65 | 20 61 72 65 20 74 65 6e |...there| are ten|
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|000021e0| 11 32 31 30 0d 0a 00 20 | 20 20 20 20 20 20 11 34 |.210... |      .4|
|000021f0| 45 20 11 33 69 11 31 28 | 11 33 69 20 11 31 2b 20 |E .3i.1(|.3i .1+ |
|00002200| 31 29 20 3d 20 28 31 20 | 11 34 2a 20 11 31 32 29 |1) = (1 |.4* .12)|
|00002210| 20 2b 20 28 32 20 11 34 | 2a 20 11 31 33 29 20 2b | + (2 .4|* .13) +|
|00002220| 20 28 33 20 11 34 2a 20 | 11 31 34 29 20 2b 20 28 | (3 .4* |.14) + (|
|00002230| 34 20 11 34 2a 20 11 31 | 35 29 20 2b 20 11 34 2a |4 .4* .1|5) + .4*|
|00002240| 2a 2a 20 11 31 2b 20 28 | 31 30 20 11 34 2a 20 11 |** .1+ (|10 .4* .|
|00002250| 31 31 31 29 2e 0d 0a 00 | 20 20 20 20 20 20 11 32 |111)....|      .2|
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|00002280| 64 20 53 75 6d 6d 61 74 | 69 6f 6e 0d 0b 00 20 20 |d Summat|ion...  |
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|000022c0| 20 20 20 32 20 20 20 32 | 20 20 20 20 32 20 20 20 |   2   2|    2   |
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|000022f0| 20 74 6f 20 77 72 69 74 | 65 20 74 68 65 20 73 75 | to writ|e the su|
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|00002320| 34 32 32 20 11 31 2b 20 | 11 34 32 32 20 11 31 2d |422 .1+ |.422 .1-|
|00002330| 20 11 34 32 32 0d 0b 00 | 20 20 20 20 20 20 20 20 | .422...|        |
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|00002350| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002360| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 11 31 34 |        |     .14|
|00002370| 20 20 20 38 20 20 20 31 | 36 20 20 20 33 32 20 20 |   8   1|6   32  |
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|00002390| 4e 12 30 0d 0a 00 0d 0b | 00 53 69 6e 63 65 20 74 |N.0.....|.Since t|
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|000023f0| 20 20 20 20 20 20 20 20 | 20 20 20 20 20 20 20 20 |        |        |
|00002400| 20 20 20 20 20 20 20 11 | 32 69 0d 0b 00 11 31 74 |       .|2i....1t|
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|00002640| 11 31 28 2d 31 29 20 20 | 11 34 32 32 32 32 11 31 |.1(-1)  |.42222.1|
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|00002790| 31 31 2d 31 2d 34 00    |                         |11-1-4. |        |
+--------+-------------------------+-------------------------+--------+--------+