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Sequence aplet 6-1
6
Sequence aplet
About the Sequence aplet
The Sequence aplet allows you to explore sequences.
You can define a sequence named, for example, U1:
• in terms of n
• in terms of U1(n–1)
•in terms of U1(n–2)
• in terms of another sequence, for example, U2(n)
• in any combination of the above.
The Sequence aplet allows you to create two types of
graphs:
– A Stairsteps graph plots n on the horizontal
axis and U
n
on the vertical axis.
– A Cobweb graph plots U
n–1
on the horizontal
axis and U
n
on the vertical axis.
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.
Select
Sequence
The Sequence aplet
starts in the Symbolic
view.
- Printing History 2
- Contents 3
- 9 Inference aplet 5
- 10 Using the Finance Solver 5
- 13 Matrices 6
- 14 Lists 6
- 15 Notes and sketches 6
- 16 Programming 7
- 17 Extending aplets 7
- Manual conventions 9
- P-2 Preface 10
- Getting started 11
- The display 12
- The keyboard 13
- Aplet control keys 14
- Entry/Edit keys 15
- Shifted keystrokes 16
- Getting started 1-7 17
- Program 18
- Input forms 19
- Mode settings 20
- Getting started 1-11 21
- Aplets (E-lessons) 22
- Quad Explorer 24
- Getting started 1-15 25
- Aplet library 26
- Aplet views 26
- Getting started 1-17 27
- Aplet view configuration 28
- Mathematical calculations 29
- Example Calculate : 30
- Example Calculate 30
- Explicit and 31
- Last output 32
- Last input 32
- Edit line 32
- Getting started 1-23 33
- Storing a value 34
- Using fractions 35
- Setting fraction 36
- Fraction 37
- Converting 38
- Complex numbers 39
- Catalogs and editors 40
- Aplets and their views 41
- 2-2 Aplets and their views 42
- Evaluating expressions 43
- 2-4 Aplets and their views 44
- About the Plot view 45
- Plot view 46
- To move between 48
- Zoom within a 49
- 2-10 Aplets and their views 50
- Aplets and their views 2-11 51
- 2-12 Aplets and their views 52
- Aplets and their views 2-13 53
- VIEWS menu 54
- Aplets and their views 2-15 55
- About the numeric view 56
- Numeric view 57
- 2-18 Aplets and their views 58
- NUM), choose 59
- CLEAR) 59
- “Build Your Own” menu keys 60
- Example: plotting a circle 61
- 2-22 Aplets and their views 62
- Function aplet 63
- Define the 64
- Plot the 64
- Change the 65
- Analyse graph 66
- Function aplet 3-5 67
- To find the 68
- Display the 69
- Explore the 69
- 3-8 Function aplet 70
- Access FCN 71
- 3-10 Function aplet 72
- Function aplet 3-11 73
- CLEAR to clear all lines.) 74
- CHARS ≤ 74
- CHARS > 1 74
- AND CHARS ≤ 1 74
- Parametric aplet 75
- Set angle 76
- Polar aplet 79
- and R1 80
- Sequence aplet 81
- Select Cobweb 83
- Solve aplet 85
- menu key to assist in the 86
- Solve the 87
- Solve aplet’s NUM view keys 88
- Use an initial guess 89
- Interpreting results 90
- Plotting to find guesses 91
- 7-8 Solve aplet 92
- Solve aplet 7-9 93
- Using variables in equations 94
- Choose fit and 97
- Statistics aplet 8-5 99
- 8-6 Statistics aplet 100
- Statistics aplet 8-7 101
- 8-8 Statistics aplet 102
- CLEAR is used the 103
- SETUP-PLOT 104
- Sort data 105
- Defining a regression model 106
- Computed statistics 107
- Two-variable 108
- Plotting You can plot: 109
- Plot types 110
- Fitting a curve to 2VAR data 111
- Trouble-shooting a plot 112
- Exploring the graph 113
- Calculating predicted values 114
- Statistics aplet 8-21 115
- Inference aplet 117
- 9-2 Inference aplet 118
- Select the 119
- 9-4 Inference aplet 120
- Open the 121
- Statistics aplet 121
- Calculate 121
- 9-6 Inference aplet 122
- Display Numeric 123
- Display Plot 123
- Hypothesis tests 124
- Two-Sample Z-Test 125
- One-Proportion Z-Test 126
- Two-Proportion Z-Test 127
- One-Sample T-Test 128
- Inputs The inputs are: 129
- Results The results are: 129
- Two-Sample T-Test 130
- Confidence intervals 131
- Two-Sample Z-Interval 132
- One-Proportion Z-Interval 133
- Two-Proportion Z-Interval 133
- One-Sample T-Interval 134
- Two-Sample T-Interval 135
- Using the Finance Solver 137
- 10-2 Using the Finance Solver 138
- Using the Finance Solver 10-3 139
- Performing TVM 140
- Example 1 - Loan calculations 141
- 10-6 Using the Finance Solver 142
- Calculating Amortizations 143
- 10-8 Using the Finance Solver 144
- Using mathematical functions 145
- Math functions by category 146
- Keyboard functions 147
- ASIN Arc sine: sin 148
- ACOS Arc cosine: cos 148
- ATAN Arc tangent: tan 149
- Calculus functions 150
- Complex number functions 151
- Constants 152
- Hyperbolic trigonometry 152
- List functions 153
- Loop functions 153
- Matrix functions 154
- Polynomial functions 154
- Probability functions 156
- Real-number functions 157
- Two-variable statistics 160
- Symbolic functions 161
- Test functions 162
- Trigonometry functions 163
- Symbolic calculations 164
- Finding derivatives 165
- To find derivatives 166
- − XXS ,53,1,0 167
- Introduction 169
- To store the results 170
- To use variables in 171
- The VARS menu 172
- To access an aplet 176
- Memory Manager 177
- Matrices 179
- Creating and storing matrices 180
- To create a matrix 181
- Working with matrices 182
- To display one 183
- Matrix arithmetic 184
- Matrices 13-7 185
- To negate each 186
- Matrix functions and commands 187
- Argument conventions 188
- Matrices 13-11 189
- 13-12 Matrices 190
- Examples 191
- Reduced-Row 192
- Echelon Form 192
- Create a list in 193
- CLEAR Clears all lists 194
- Displaying and editing lists 196
- To insert an element 197
- To store one 197
- Lists 14-7 199
- 14-8 Lists 200
- Lists 14-9 201
- 14-10 Lists 202
- Notes and sketches 203
- Note edit keys 204
- Aplet sketch view 205
- DRAW keys 206
- Notes and sketches 15-5 207
- The notepad 208
- Notepad Catalog keys 209
- NOTEPAD), open the note 210
- Programming 211
- Program catalog 212
- Program catalog keys 213
- Creating and editing programs 214
- PROGRM to 215
- CHARS menu 216
- Using programs 217
- Transmit a 218
- Customizing an aplet 219
- Aplet naming convention 220
- Configuring the 221
- Setviews menu 221
- 16-12 Programming 222
- Programming commands 223
- Aplet commands 224
- Auto-run programs 225
- ProgramName 226
- ViewNumber 226
- View numbers 227
- 16-18 Programming 228
- Drawing commands 229
- Graphic commands 230
- Programming 16-21 231
- XPageNum: 231
- Loop commands 232
- Matrix commands 233
- 16-24 Programming 234
- Print commands 235
- Prompt commands 235
- 16-26 Programming 236
- X A:CHOOSE A; 236
- CMDS 237
- NOTE and type AREA IS 238
- Stat-One commands 239
- Stat-Two commands 239
- Plot-view variables 240
- Extremum 241
- Hmin/Hmax 241
- InvCross 242
- Nmin / Nmax 243
- Recenter 243
- S1mark–S5mark 243
- StatPlot 244
- Umin/Umax 244
- Tmin / Tmax 245
- Xmin / Xmax 246
- Ymin / Ymax 246
- Symbolic-view variables 247
- R1...R9, R0 248
- U1...U9, U0 248
- E1...E9, E0 248
- S1fit...S5fit 248
- Numeric-view variables 249
- NumIndep 250
- NumStart 250
- StatMode 251
- Note variables 252
- Sketch variables 252
- Extending aplets 253
- 17-2 Extending aplets 254
- Resetting an aplet 255
- Sending and receiving aplets 256
- To transmit 257
- To sort the 258
- To delete an 258
- Reference information 259
- R-2 Reference information 260
- Resetting the hp 39g+ 261
- Operating details 262
- To install the main 263
- To install the 263
- R-6 Reference information 264
- Variables 264
- Reference information R-7 265
- Parametric aplet variables 266
- Polar aplet variables 267
- Sequence aplet variables 268
- Solve aplet variables 269
- Statistics aplet variables 270
- MATH menu categories 271
- R-14 Reference information 272
- Program constants 273
- Program commands 274
- Status messages 275
- MEMORY) 276
- Limiting Warranty 277
- W-2 Limiting Warranty 278
- Limiting Warranty W-3 279
- W-4 Limiting Warranty 280
- Regulatory information 281
- Disposal of Waste 282
- Equipment by Users 282
- Household in the 282
- European Union 282
- Index I-1 283
- I-2 Index 284
- Index I-3 285
- I-4 Index 286
- Index I-5 287
- I-6 Index 288
- Index I-7 289
- I-8 Index 290
- Index I-9 291
- I-10 Index 292
- Index I-11 293
- I-12 Index 294
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