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Sequence aplet
About the Sequence aplet
The Sequence aplet allows you to explore sequences.
You can define a sequence named, for example, Ul:
• in terms of n
• in terms of Ul(/!-l)
• in terms of UI («-2)
• in terms of another sequence, for example, U2(n)
• in any combination of the above.
Getting started with the Sequence aplet
The following example defines and then plots an expression
in the Sequence aplet.
Open the
Sequence
aplet
1. Open the Sequence aplet.
I APLET I Select
Sequence
The Sequence aplet
starts in the Symbolic
view.
Uli:2) =
ui<:h)=
U2a:)=
U2<2)= ¥
■aoiMiTjBinaiiiiiiBiipggHiaaimmcia
Sequence aplet
6-1
- HP 39G/40G 1
- USER’S GUIDE 3
- Contents 5
- 9 Inference aplet 7
- 12 Matrices 8
- 13 Lists 8
- 14 Notes and sketches 8
- 15 Programming 9
- 16 Extending aplets 9
- Reference information 10
- Manual conventions 11
- Getting started 13
- The display 14
- The keyboard 15
- Aplet control keys 16
- Entry/Edit keys 17
- 5rivrAX 18
- ?1 ) enter) 18
- Math keys 19
- To search a menu 20
- To cancel a menu 20
- Input forms 21
- Mode settings 21
- Aplets (E-lessons) 23
- Quad Explorer 25
- 26
- Aplet library 27
- Aplet views 27
- Aplet view configuration 29
- Mathematical calculations 30
- 31
- ANS is a variable that is 33
- ALPHA 1 A I ENTER 35
- 1 shift) 35
- Using fractions 36
- 6 the decimal 0.6666 becomes 37
- «NSLE MEftsuRE: Radians 38
- Fract ion 38
- Dot < . ) 38
- Complex numbers 39
- Catalogs and editors 40
- Aplets and their views 43
- 2iT>= 44
- 2ie>= 44
- Evaluating expressions 45
- About the Plot view 47
- ¡§I3S1?,I first 50
- ZOOM examples 52
- (YZOOM) 54
- Split the screen 56
- About the numeric view 57
- MXJMSTART and NUMSTEP 58
- NUMSTART 58
- ZOOM options 59
- ZOOM factor is 4 60
- 60
- Build Your Own 60
- ‘Build Your Own” menu keys 61
- Example: plotting a circle 62
- Function apiet 63
- F4(>0 64
- F5<:X>= T 64
- Function aplet 65
- X = -2 on the linear 67
- To find the 68
- Mlill—IBB 70
- V\ot FCN 71
- ;.r > 1 73
- Parametric aplet 75
- SHIFT MODES 76
- Degrees I 76
- SHIFT PLOT 76
- Overlay Plot 77
- Polar apiet 79
- Explore the 80
- Display the 80
- Sequence aplet 81
- Ul(N-l)+LllCN-2) 82
- {SH^SETUP-PLOT 83
- Solve aplet 85
- 87
- Solve aplet’s NUM view keys 88
- Use an initial guess 89
- Interpreting results 90
- -t 2 2.219330555745 91
- - 1 21.31111111149 91
- Plotting to find guesses 92
- YRNG -5 to 35. Keep the XKNG 93
- Using variables in equations 94
- Statistics apiet 95
- I ENTER I 920 i enter! 96
- I enter 96
- (MEANY) 97
- MEANX is about 3.3 97
- MEANY is 97
- 9. Plot the graph 98
- Stat-Two) 99
- (fsYMBl) 99
- Statistics 101
- Mi STfiTISTICS SVMEnUC 102
- ENTER SAMPLE 102
- 1 with the name 103
- 1 [enter I 103
- 8. Display the computed 104
- None for the 105
- (SIFIT to S5FIT) you 105
- Ascending or Descending 105
- Statistics aplet 106
- Computed statistics 107
- Plotting 109
- Plot types 110
- Fitting a curve to 2VAR data 111
- Trouble-shooting a plot 113
- Exploring the graph 114
- Calculating predicted values 115
- Inference aplet 117
- Inferential 118
- ■MBMIMlIllgHHiiM 119
- ¡SHIFT \SETUP-NUM 120
- □ 529 fENTEFI 122
- Se/ectCONF INTERVAL 123
- T-Int: 1 123
- 7!Ovc to the 124
- Hypothesis tests 125
- Two-Sample Z-Test 126
- One-Proportion Z-Test 127
- Two-Proportion Z-Test 128
- One-Sample T-Test 129
- Two-Sample T-Test 130
- 2 Sample 2 size 131
- Confidence intervals 132
- Two-Sample Z-!nterval 133
- One-Proportion Z-Interval 134
- Two-Proportion Z-Interval 135
- One-Sample T-Interval 136
- Two-Sampie T-Interva! 137
- Using mathematical functions 139
- To select a 140
- Function categories 140
- Math functions by category 141
- Keyboard functions 142
- -1 <.t< 1 143
- 1,2) returns -1,-2) 143
- Calculus functions 145
- Complex number functions 146
- Constants 147
- Hyperbolic trigonometry 147
- List functions 148
- Loop functions 149
- Matrix functions 149
- Polynomial functions 150
- Probability functions 151
- degrees of freedom (of 152
- Returns the probability 152
- Real-number functions 153
- Statistics-Two 156
- Symbolic functions 157
- Test functions 158
- Trigonometry functions 159
- Symbolic calculations 160
- Finding derivatives 161
- BHiiiiaiiaiTwi 162
- (T) instead of (7] 163
- Introduction 165
- Precision 166
- To store a value 166
- To store the 167
- To recall a value 167
- The VARS menu 168
- SHIFT L/.?r 169
- 90 ИЗ 77 иа 170
- \modes 171
- Aplet variables 172
- 6. To copy the value of the 172
- SMEMDRV MSN(I5EFi 173
- Matrices 175
- Creating and storing matrices 176
- To create a matrix 177
- Working with matrices 178
- I ALPHA 179
- Matrix arithmetic 180
- [alphaIMI g [alpha 181
- I SHIFflM/tri?« 182
- 182
- Matrix functions and commands 183
- Argument conventions 184
- [real]] 186
- Examples 187
- Reduced-Row 188
- Echelon Form 188
- Creating lists 189
- Create a list in 191
- 9] keys) and separate each 191
- Displaying and editing lists 192
- To insert an 193
- Deleting lists 194
- Transmitting lists 194
- ________________ 198
- (numIHIIH 199
- Notes and sketches 201
- Note edit keys 202
- Aplet sketch view 203
- To draw a box 204
- To draw a circle 204
- DRAW keys 204
- 2. Press am 205
- The notepad 206
- Notepad Catalog keys 207
- To import a note 208
- Programming 209
- Program catalog 210
- Program catalog keys 211
- The program catalog keys are: 211
- Creating and editing programs 212
- GftliH CDMHiNDS^« 213
- PBOGFiftM cftTHLasgBBas 213
- Editing keys 214
- The editing keys are: 214
- Using programs 215
- Working with programs 216
- About customizing an aplet 217
- Aplet naming convention 218
- Customizing an aplet example 218
- WiililHJiHlIlIBHi 219
- EXP.SV";0; 220
- Programming commands 222
- Command syntax 223
- Auto-run programs 224
- ProgramName 224
- ViewNumber 224
- Branch commands 225
- 2 THEN true-clause2 END 226
- Drawing commands 227
- Graphic commands 228
- Loop commands 230
- Matrix commands 231
- Prompt commands 233
- DISPTIME 234
- 236
- D01VSTATS 237
- D02VSTATS 237
- SETDEPEND 237
- SETINDEP 237
- Plot-view variables 238
- 0 ► FastRes—for more detail 239
- InvCross 240
- Recenter 241
- S1mark-S5mark 241
- StatPlot 242
- Umin/Umax 242
- Xmin / Xmax 244
- Ymin / Ymax 244
- Symbolic-view variables 245
- X1, Y1...X9,Y9 246
- R1...R9, RO 246
- U1...U9, UO 246
- E1...E9, EO 246
- Numeric-view variables 247
- Numindep 248
- NumStart 249
- Note variables 250
- Sketch variables 250
- Extending aplets 251
- ■BiwsptmwHnsBi 252
- El:SIHC6>=0/H 252
- E2:C0S<e)=flAH 252
- E3:TflN<8>=0^fl 252
- Example: To use 253
- Resetting an aplet 254
- Sending and receiving aplets 255
- ]. To delete all custom 256
- LED safety 258
- Warranty 258
- Resetting the HP 39G/40G 260
- Glossary 262
- Operating details 263
- Menu maps of the VARS menu 264
- Function aplet variables 265
- Parametric aplet variables 266
- Polar aplet variables 267
- Sequence aplet variables 268
- Solve aplet variables 269
- Statistics aplet variables 270
- Menu maps of the MATH menu 271
- Program constants 273
- Program commands 274
- Selected status messages 275
- Message Meaning (Continued) 276
- 1-4 Index 280
- ( 285
- 351 Burwood Highway 291
- Forest Hill, 3131 291
- Victoria, Australia 291
- Printed in China 291
- ËSü-1-a 292
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