Sequences & Series Solver (TI-84 Plus CE)
Sequences & Series Solver (TI-84 Plus CE)
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Sequences & Series Solver for TI-84 Plus CE
Arithmetic, Geometric, Infinite & Recursive Sequences and Series
Enter known values, solve for unknowns, and explore sequence and series formulas directly on your calculator.
The revised SEQNSERI program provides interactive numerical tools for arithmetic and geometric sequences, finite series, infinite geometric series, and recursive sequences.
Designed for Algebra 2, Precalculus, and students reviewing sequence concepts for AP Calculus BC, the program combines numerical calculations, formula references, and worked examples in one convenient TI-84 Plus CE program.
Why Choose the Sequences & Series Solver?
- Six major topic categories: arithmetic sequences, geometric sequences, arithmetic series, geometric series, infinite geometric series, and recursive sequences.
- Solve for unknown values: find terms, first terms, common differences, common ratios, term numbers, or sums using supported formulas.
- Interactive calculations: enter your numerical values and receive calculated results.
- Convergence checks: identify whether an infinite geometric series has a finite sum.
- Recursive sequences: explore linear recurrences and Fibonacci-type patterns.
- Built-in reference material: formulas, explanations, and worked examples.
- Digital delivery: download and install the TI-BASIC program using TI Connect CE.
Watch the Sequences & Series Demonstration
This earlier demonstration introduces the original SEQNSER1 program. The current revised program is named SEQNSERI and includes updated calculations and navigation. A new demonstration will be added later.
Watch the original demonstration on YouTube
What's Included
| Program | Type | Function |
|---|---|---|
| SEQNSERI | Interactive Solver | Numerical sequence and series calculations, supported unknown-variable solving, recursive sequences, convergence checks, formulas, and examples. |
Explore the Six Main Topics
1. Arithmetic Sequences
Work with sequences that increase or decrease by a constant difference.
Formula: An = A1 + (n - 1)d
Find supported unknowns such as the nth term, first term, common difference, or term number.
2. Geometric Sequences
Work with sequences that multiply by a constant ratio.
Formula: Gn = G1 × r^(n-1)
Calculate terms, common ratios, and other supported unknowns. Logarithmic methods are available where mathematically applicable.
3. Arithmetic Series
Find sums of arithmetic sequences using standard formulas:
Sn = n(A1 + An)/2
Sn = n[2A1 + (n-1)d]/2
Use the solver to calculate sums and supported unknown values.
4. Finite Geometric Series
Calculate the sum of a finite geometric sequence using:
Sn = G1(1 - r^n)/(1 - r), for r not equal to 1.
For r = 1, the sum is simply n × G1.
The solver supports multiple unknown-variable calculations and checks mathematical conditions.
5. Infinite Geometric Series
Determine whether an infinite geometric series converges and calculate its sum when appropriate.
S = G1/(1 - r)
Convergence condition: |r| < 1.
The program also supports calculating the first term or common ratio from appropriate known values.
6. Recursive Sequences
Explore recursively defined sequences, including linear recurrence patterns and Fibonacci-type sequences.
Recursive formulas define terms using one or more earlier terms rather than only a direct nth-term expression.
Built-in examples and references help students recognize how recursive sequences are generated.
Worked Examples
The following examples illustrate the mathematical calculations supported by the program.
Example 1: Find a Term in an Arithmetic Sequence
Problem: The first term is 4, the common difference is 3, and n = 12. Find the 12th term.
Given:
A1 = 4
d = 3
n = 12
Calculation:
An = 4 + (12 - 1)(3)
An = 4 + 33
Answer: An = 37
Example 2: Find a Geometric Sequence Term
Problem: The first term is 3, the common ratio is 2, and n = 6. Find the sixth term.
Given:
G1 = 3
r = 2
n = 6
Calculation:
Gn = 3 × 2^(6-1)
Gn = 3 × 32
Answer: Gn = 96
Example 3: Arithmetic Series Sum
Problem: Find the sum of the first 20 terms of an arithmetic sequence with first term 5 and common difference 2.
Given:
A1 = 5
d = 2
n = 20
Calculation:
Sn = 20[2(5) + 19(2)]/2
Sn = 10(48)
Answer: Sn = 480
Example 4: Infinite Geometric Series
Problem: Find the sum of an infinite geometric series with first term 12 and common ratio 0.5.
Given:
G1 = 12
r = 0.5
Convergence check:
|0.5| < 1, so the series converges.
Calculation:
S = 12/(1 - 0.5)
Answer: S = 24
What This Program Does — and Does Not Do
SEQNSERI is an interactive numerical solver. It performs supported arithmetic and geometric sequence and series calculations using values entered by the student.
It is not a general-purpose computer algebra system and does not solve every possible symbolic recurrence or arbitrary infinite series.
It is also different from SERIES Pro, the separate AP Calculus BC reference program that focuses on convergence tests, Taylor and Maclaurin series, and the GPART test-selection strategy.
Who Is This Program For?
- Algebra 2 students learning arithmetic and geometric sequences
- Precalculus students working with sequences, finite sums, and recursive formulas
- AP Precalculus students reviewing applicable sequence and series concepts
- AP Calculus BC students reviewing geometric series and supporting algebra
- College students taking courses involving discrete mathematics or sequences
- Students seeking numerical calculations with built-in mathematical references
Curriculum note: Arithmetic sequence calculations and finite arithmetic series are primarily algebra and precalculus topics. Infinite geometric series and infinite series are relevant to AP Calculus BC. The full SEQNSERI program contains both curriculum-focused and supplementary mathematics.
Calculator Compatibility and Delivery
Compatible Models
✓ TI-84 Plus CE
✓ TI-84 Plus CE Python
Not designed for older monochrome TI-84 models, TI-83, TI-Nspire, TI-89, or Casio calculators.
Digital Download
Receive the revised SEQNSERI.8xp TI-BASIC program file after purchase.
Digital delivery only. No physical product is shipped.
Installation Instructions
Transfer the program to your calculator using TI Connect CE. On your calculator, press PRGM, select SEQNSERI, and press ENTER to run it.
The standalone program can run without the complete AP Calculus bundle. CALCHUB is only needed when accessing it as part of the consolidated bundle.
Want the Complete AP Calculus AB & BC Bundle?
SEQNSERI is also included in our consolidated nine-program AP Calculus AB & BC Bundle.
The complete bundle includes:
- CALCHUB — Central program launcher
- CALCEQ — Calculus formulas and concepts
- DERIV — Derivative reference library
- INTEG — Integration reference library
- POLPAR — Parametric and polar calculus
- SEQNSERI — Interactive sequences and series solver
- SERIES — Convergence tests and Taylor/Maclaurin reference
- TRIGID — Trigonometric identities
- VECTORS — Interactive vector calculator
View the Complete AP Calculus AB & BC Bundle
Looking for AP Calculus BC Convergence Tests?
The standalone SERIES Pro reference program covers convergence and divergence tests, Taylor and Maclaurin series, radius and interval of convergence, and the GPART strategy.
Unlike SEQNSERI, SERIES Pro primarily provides reference information rather than interactive sequence calculations.
Need Installation Help?
Arithmetic. Geometric. Recursive. Infinite Series.
One interactive sequences and series solver for your TI-84 Plus CE.
AP® is a registered trademark of College Board, which was not involved in the production of, and does not endorse, this product.
What do I need to install the program?
What do I need to install the program?
- TI84 Plus CE (or Python) Calculator
- TI Connect CE Software (Download Here)
- Update Your TI calculator software (Click Here)
- USB mini to USB cord (Should have came with your calculator, or you can buy one from Staples or Best Buy)
How do I install the program on my calculator?
How do I install the program on my calculator?
Can you help me with the TI connect software?
Can you help me with the TI connect software?
Yes! Take a look at this guide for more help.
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Great program! Works great as planned and helped a lot :) easy to download
Program is as advertised. Simple. Does what you need. Good price point
- Choosing a selection results in a full page refresh.
- Opens in a new window.