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Sequence app 279
17
Sequence app
The Sequence app provides you with various ways 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) or
• in any combination of the above.
You can define a sequence by specifying just the first term
and the rule for generating all subsequent terms. However,
you will have to enter the second term if the HP Prime is
unable to calculate it automatically. Typically if the nth
term in the sequence depends on n –2, then you must
enter the second term.
The app enables you to create two types of graphs:
• a
Stairsteps graph, which plots points of the form (n,
Un)
• a
Cobweb graph, which plots points of the form
(Un–1, Un).
Getting started with the Sequence app
The following example explores the well-known Fibonacci
sequence, where each term, from the third term on, is the
sum of the preceding two terms. In this example, we
specify three sequence fields: the first term, the second
term and a rule for generating all subsequent terms.
- HP Prime Graphing Calculator 1
- User Guide 1
- Edition1 2
- Part Number NW280-2001 2
- Legal Notices 2
- Printing History 3
- Contents 5
- 4 Exam Mode 6
- 5 An introduction to HP apps 6
- 6 Function app 7
- 7 Advanced Graphing app 7
- 8Geometry 7
- 9 Spreadsheet 7
- 10 Statistics 1Var app 7
- 11 Statistics 2Var app 8
- 12 Inference app 8
- 13 Solve app 8
- 14 Linear Solver app 8
- Contents 5 9
- 22 Variables 10
- 23 Units and constants 10
- 24 Lists 11
- 25 Matrices 11
- 26 Notes and Info 11
- 27 Programming 11
- 28 Basic Integer arithmetic 12
- A Glossary 12
- B Troubleshooting 12
- Manual conventions 13
- =, \, >, and < 14
- Getting started 15
- On/off, cancel operations 16
- The display 17
- Sections of the display 18
- [orange] In Home view 19
- Navigation 20
- Touch gestures 21
- The keyboard 22
- Context-sensitive menu 23
- Entry and edit keys 24
- Keys Purpose (Continued) 25
- Shift keys 26
- Adding text 27
- Math keys 28
- Getting started 25 29
- Hexagesimal 30
- EEX key 31
- (powers of 31
- E15. This is 32
- Input forms 33
- System-wide settings 34
- Setting Options 35
- Textbook: An expression is 36
- Algebraic: An expression is 36
- Math and CAS 37
- Specifying a Home setting 38
- Mathematical calculations 39
- Choosing an entry type 40
- Entering expressions 41
- Example Calculate 42
- Negative 43
- Explicit and 43
- 40 Getting started 44
- Getting started 41 45
- Storing a value in a variable 46
- Complex numbers 47
- Sharing data 48
- Online Help 49
- 46 Getting started 50
- Reverse Polish Notation (RPN) 51
- History in RPN mode 52
- Sample calculations 53
- Manipulating the stack 55
- Before After 56
- Computer algebra system (CAS) 57
- CAS calculations 58
- Setting Purpose 60
- 60
- Setting Purpose (Cont.) 61
- Exam Mode 65
- O + A + c 66
- Creating a new configuration 67
- Activating Exam Mode 68
- SH, tap 69
- Modifying configurations 70
- Deleting configurations 71
- 68 Exam Mode 72
- An introduction to HP apps 73
- 70 An introduction to HP apps 74
- Application Library 75
- App views 76
- Symbolic view 77
- Symbolic Setup view 78
- Plot view 78
- An introduction to HP apps 75 79
- Numeric view 81
- Numeric Setup view 82
- Quick example 83
- RNG field to 84
- An introduction to HP apps 81 85
- 82 An introduction to HP apps 86
- An introduction to HP apps 83 87
- 84 An introduction to HP apps 88
- An introduction to HP apps 85 89
- Button Purpose 90
- SY to open Symbolic 91
- 88 An introduction to HP apps 92
- Option Result 93
- XRNG and YRNG 94
- An introduction to HP apps 91 95
- 92 An introduction to HP apps 96
- An introduction to HP apps 93 97
- 94 An introduction to HP apps 98
- An introduction to HP apps 95 99
- Configure Plot view 100
- Setup field Purpose 101
- Setup field Purpose (Cont.) 102
- Graphing methods 103
- Restore default settings 104
- setting (explained above) 105
- Evaluating 106
- Custom tables 107
- NUMTYPE is set to 108
- Modifying Numeric Setup 109
- < scrolls the 109
- Adding a note to an app 110
- Creating an app 111
- I and use the 112
- E twice 112
- App functions and variables 113
- Function app 115
- Open the 116
- Define the 116
- Set up the 117
- Plot the 117
- Trace a 118
- Change the 118
- Function app 115 119
- Explore 120
- Numeric 120
- Num Step value) is 121
- Analyzing functions 122
- To find an 123
- Q1, and tap 123
- 120 Function app 124
- Shortcut 125
- The Function Variables 126
- To access Function 127
- Summary of FCN operations 128
- Advanced Graphing app 129
- 126 Advanced Graphing app 130
- Example 3 Example 4 130
- Example 5 Example 6 130
- Advanced Graphing app 127 131
- Explore the 132
- Trace in Plot 133
- = and \ no longer jump 134
- Advanced Graphing app 131 135
- Trace in 136
- Advanced Graphing app 133 137
- Plot Gallery 138
- Geometry 139
- Y Rng values 140
- Geometry 137 141
- Create a 142
- Add some 143
- 140 Geometry 144
- Plot view in detail 145
- 142 Geometry 146
- Geometry 143 147
- Choose Color palette appears 148
- Select Object menu appears 148
- Choose Color 148
- Geometry 145 149
- Plot Setup view 150
- Result in Plot view 151
- Symbolic view in detail 152
- Geometry 149 153
- Numeric view in detail 154
- Geometry 151 155
- 152 Geometry 156
- Geometric objects 157
- 154 Geometry 158
- Geometry 155 159
- 156 Geometry 160
- Geometry 157 161
- 158 Geometry 162
- Geometry 159 163
- Plot, and 164
- Function 164
- Geometric transformations 165
- Reflection 166
- Dilation 166
- ∡ LKM in the 167
- 164 Geometry 168
- Symbolic view: Cmds menu 169
- 166 Geometry 170
- Geometry 167 171
- DrawSlp(a,b,m) 172
- Geometry 169 173
- 170 Geometry 174
- Geometry 171 175
- 172 Geometry 176
- Geometry 173 177
- 174 Geometry 178
- Geometry 175 179
- 176 Geometry 180
- Geometry 177 181
- Transform 182
- Geometry 179 183
- Measure Plot 184
- Geometry 181 185
- Numeric view: Cmds menu 186
- Geometry 183 187
- 184 Geometry 188
- Geometry 185 189
- 186 Geometry 190
- Geometry 187 191
- Other Geometry functions 192
- Geometry 189 193
- LineHorz 194
- LineVert 194
- Geometry 191 195
- 192 Geometry 196
- I and select 197
- S.PRICEs0.1E 198
- Column 199
- S.ANCOSTSE 200
- S.D3 w D5E 200
- S.D7 ≥ F1E 200
- Basic operations 201
- Cell references 202
- Cell naming 202
- Entering content 203
- is 59,049 204
- S.AAROOTAR3wAs 205
- External references 206
- Referencing variables 207
- 204 Spreadsheet 208
- Buttons and keys 209
- Formatting options 210
- Parameters 211
- Spreadsheet functions 212
- Statistics 1Var app 213
- 210 Statistics 1Var app 214
- Symbolic view: menu items 215
- 212 Statistics 1Var app 216
- Statistics 1Var app 213 217
- Numeric view: menu items 218
- Edit a data 218
- Statistics 1Var app 215 219
- Computed statistics 220
- Plotting 221
- 218 Statistics 1Var app 222
- Exploring the graph 223
- Plot view: menu items 224
- Statistics 2Var app 225
- 222 Statistics 2Var app 226
- Statistics 2Var app 223 227
- 224 Statistics 2Var app 228
- Display the 229
- > until x = 6. If the 230
- Numeric view menu items 231
- SJ(Clear). Select the column 232
- Defining a regression model 233
- To define your 234
- Plotting statistical data 236
- Statistics 2Var app 233 237
- Plot setup 238
- Predicting values 239
- Troubleshooting a plot 240
- Inference app 241
- Symbolic view options 242
- Select the 243
- Plot the test 244
- Importing statistics 245
- Type and 246
- Hypothesis tests 247
- One-Sample Z-Test 248
- Two-Sample Z-Test 249
- One-Proportion Z-Test 250
- Two-Proportion Z-Test 251
- One-Sample T-Test 252
- Two-Sample T-Test 253
- Inputs The inputs are: 254
- Results The results are: 254
- Confidence intervals 255
- One-Proportion Z-Interval 256
- Two-Proportion Z-Interval 257
- One-Sample T-Interval 258
- Two-Sample T-Interval 258
- 256 Inference app 260
- Solve app 261
- One equation 262
- Solve app 259 263
- 260 Solve app 264
- Several equations 265
- Limitations 266
- Solution information 267
- Message Meaning (Continued) 268
- Linear Solver app 269
- Define and solve 270
- Menu items 271
- 268 Linear Solver app 272
- Parametric app 273
- Parametric app 271 275
- 274 Parametric app 278
- Polar app 279
- Set angle 280
- Sequence app 283
- 282 Sequence app 286
- Seq Plot and 287
- 284 Sequence app 288
- Finance app 289
- Q 300 move the cursor to 290
- Cash flow diagrams 291
- Time value of money (TVM) 292
- Finance app 289 293
- 290 Finance app 294
- Calculating amortizations 295
- 292 Finance app 296
- Triangle Solver app 297
- Specify the 298
- Choosing triangle types 299
- Special cases 300
- The Explorer apps 301
- 298 The Explorer apps 302
- The Explorer apps 299 303
- Quadratic Explorer app 304
- > or < to select 305
- Trig Explorer app 306
- The Explorer apps 303 307
- 304 The Explorer apps 308
- Functions and commands 309
- F). See “Math template” 310
- Setting the form 310
- Keyboard functions 311
- 308 Functions and commands 312
- Functions and commands 309 313
- Math menu 314
- Functions and commands 311 315
- Arithmetic 316
- Functions and commands 313 317
- Trigonometry 318
- Hyperbolic 319
- Probability 319
- 316 Functions and commands 320
- Functions and commands 317 321
- Cumulative 322
- Functions and commands 319 323
- 320 Functions and commands 324
- Functions and commands 321 325
- CAS menu 326
- Calculus 327
- 324 Functions and commands 328
- Differential 329
- Integral 330
- 328 Functions and commands 332
- Functions and commands 329 333
- 330 Functions and commands 334
- Exp & Ln 335
- 332 Functions and commands 336
- Functions and commands 333 337
- 334 Functions and commands 338
- Functions and commands 335 339
- Division 340
- Polynomial 341
- 338 Functions and commands 342
- Functions and commands 339 343
- 340 Functions and commands 344
- Functions and commands 341 345
- 342 Functions and commands 346
- App menu 347
- Solve app functions 348
- SUM([input]) 350
- AVERAGE([input]) 350
- Functions and commands 347 351
- 348 Functions and commands 352
- Functions and commands 349 353
- 350 Functions and commands 354
- Functions and commands 351 355
- 352 Functions and commands 356
- Functions and commands 353 357
- 354 Functions and commands 358
- Functions and commands 355 359
- NullPopProp, SigLevel, Mode 360
- ["configuration"]) 360
- Functions and commands 357 361
- 358 Functions and commands 362
- Functions and commands 359 363
- 360 Functions and commands 364
- Functions and commands 361 365
- 362 Functions and commands 366
- Statistics 1Var app functions 367
- Statistics 2Var app functions 367
- Inference app functions 368
- Functions and commands 365 369
- NullPopProp, SigLevel, Mode) 370
- Finance app functions 371
- 368 Functions and commands 372
- Linear Solver app functions 373
- Triangle Solver app functions 373
- DoSolve() 374
- Linear Explorer functions 375
- Quadratic Explorer functions 375
- Common app functions 375
- Ctlg menu 376
- [[3,8],[15,24]] 377
- ACOS(value) 378
- Functions and commands 375 379
- 376 Functions and commands 380
- Functions and commands 377 381
- 378 Functions and commands 382
- Functions and commands 379 383
- 380 Functions and commands 384
- Functions and commands 381 385
- 382 Functions and commands 386
- Functions and commands 383 387
- 384 Functions and commands 388
- Functions and commands 385 389
- 386 Functions and commands 390
- Functions and commands 387 391
- 388 Functions and commands 392
- Functions and commands 389 393
- 390 Functions and commands 394
- Functions and commands 391 395
- 392 Functions and commands 396
- Functions and commands 393 397
- 394 Functions and commands 398
- Functions and commands 395 399
- 396 Functions and commands 400
- Functions and commands 397 401
- 398 Functions and commands 402
- Functions and commands 399 403
- 400 Functions and commands 404
- Functions and commands 401 405
- 402 Functions and commands 406
- Functions and commands 403 407
- 404 Functions and commands 408
- Functions and commands 405 409
- 406 Functions and commands 410
- Functions and commands 407 411
- 408 Functions and commands 412
- Functions and commands 409 413
- 410 Functions and commands 414
- Functions and commands 411 415
- 412 Functions and commands 416
- Functions and commands 413 417
- 414 Functions and commands 418
- Functions and commands 415 419
- 416 Functions and commands 420
- Functions and commands 417 421
- 418 Functions and commands 422
- Functions and commands 419 423
- 420 Functions and commands 424
- Functions and commands 421 425
- 422 Functions and commands 426
- Functions and commands 423 427
- 424 Functions and commands 428
- Creating your own functions 429
- 426 Functions and commands 430
- Variables 431
- Settings 432
- Variables 429 433
- SX. The 434
- Home variables 435
- App variables 436
- Geometry app variables 437
- Spreadsheet app variables 437
- Solve app variables 437
- NumIndep 438
- Automatic 438
- BuildYourOwn 438
- Statistics 1Var app variables 439
- 436 Variables 440
- Statistics 2Var app variables 441
- 438 Variables 442
- Inference app variables 443
- 440 Variables 444
- Parametric app variables 445
- Polar app variables 446
- Finance app variables 446
- Linear Solver app variables 447
- Triangle Solver app variables 447
- Linear Explorer app variables 447
- Trig Explorer app variables 448
- Sequence app variables 448
- Units and constants 449
- Unit calculations 450
- Units and constants 447 451
- Unit tools 452
- Physical constants 453
- Value or 454
- List of constants 455
- 452 Units and constants 456
- Lists 453 457
- Button or Key Purpose 458
- The List Editor 459
- 456 Lists 460
- Deleting lists 461
- Lists in Home view 461
- 458 Lists 462
- List functions 463
- 460 Lists 464
- Lists 461 465
- 462 Lists 466
- Lists 463 467
- 464 Lists 468
- Matrices 469
- Creating and storing matrices 470
- Working with matrices 471
- 468 Matrices 472
- Matrices 469 473
- 470 Matrices 474
- Matrix arithmetic 475
- 472 Matrices 476
- Matrices 473 477
- 474 Matrices 478
- Matrices 475 479
- Matrix functions and commands 480
- Matrix functions 481
- (expression, elements) 482
- Matrices 479 483
- 480 Matrices 484
- Advanced 485
- 0.4159 0.8369– 486
- 0.9093 0.5742 486
- 5.3722 0 486
- 0 0.3722– 486
- Matrices 483 487
- Factorize 488
- Matrices 485 489
- 486 Matrices 490
- Examples 491
- 488 Matrices 492
- Notes and Info 493
- The Note Editor 494
- Notes and Info 491 495
- Note Editor: buttons 496
- Keys Purpose 497
- Category Options (Continued) 499
- 496 Notes and Info 500
- Programming 501
- The Program Catalog 502
- Program 503
- Save creates a copy of 504
- Rename renames the 504
- Sort sorts the list of 504
- Delete deletes the 504
- Clear deletes all 504
- Creating a new program 505
- Program Editor: 506
- J to return to the 506
- Programming 503 507
- 504 Programming 508
- Sx to return to 509
- H to go to Home view 509
- E and the program executes 510
- Debug a 511
- 508 Programming 512
- Programming 509 513
- 510 Programming 514
- Qualifying 516
- Functions 517
- ROLLMANY 518
- Programming 515 519
- results; 519
- results(roll); 519
- Re-assigning 520
- Key Name 521
- App programs 523
- Program Name Equivalent 524
- Keystrokes 524
- Customizing 525
- I Select 526
- The program 527
- DiceSimulation 527
- Program commands 529
- 526 Programming 530
- Programming 527 531
- max;1 result; 531
- result; 531
- 528 Programming 532
- Programming 529 533
- Variable 534
- Commands under the Cmds menu 535
- String Result 536
- Programming 533 537
- 534 Programming 538
- Pixels and Cartesian 539
- 536 Programming 540
- Programming 537 541
- 538 Programming 542
- Programming 539 543
- 540 Programming 544
- K;4 A; 544
- O to terminate. The 545
- 542 Programming 546
- App Functions 547
- 544 Programming 548
- Programming 545 549
- 546 Programming 550
- Programming 547 551
- 548 Programming 552
- Programming 549 553
- \ or = to view 554
- Programming 551 555
- 552 Programming 556
- Variables and Programs 557
- Plot view variables 558
- Sequence 560
- min/max 561
- P), press then . Scroll to 562
- Symbolic view variables 563
- Numeric view variables 565
- Inference 568
- Linear Solver 572
- Triangle 573
- Solver app 573
- AAngle Sets the angle mode 577
- Results 578
- Basic Integer arithmetic 579
- The default base 580
- Changing the default base 581
- Mixed-base arithmetic 582
- Integer manipulation 583
- Base functions 584
- Appendix A 585
- Glossary 585
- 582 Glossary 586
- Glossary 583 587
- 584 Glossary 588
- Appendix B 589
- Troubleshooting 589
- Operating limits 590
- Status messages 590
- Troubleshooting 587 591
- 588 Troubleshooting 592
- Appendix C 593
- Chemical 597
- Substances 597
- Index 595 599
- 596 Index 600
- Index 597 601
- 598 Index 602
- Index 599 603
- 600 Index 604
- Index 601 605
- 602 Index 606
- Index 603 607
- 604 Index 608
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