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CogniGuide

Sequence and Series Mind Map for Maths Revision

This example map lays out sequences, series, the nth term and sum formulas. The AI can build one from your own notes, textbook PDF or slides.

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CogniGuide at a glance

What you get
Interactive mind maps of the main ideas and how they connect. Free: overview maps (detailed maps on your first 3 creations). Plus: detailed maps with supporting concepts.
Exports
Your first PDF or PNG export is free; Plus exports anytime.
Price
Free plan: 5 creations a week, up to 3 a day. Plus: $9.99/month or $99.90/year (USD; local prices at checkout).
Sign-up
A free account is required before you create anything (Google or email). No credit card.
What you can upload
PDF, Word (.docx), PowerPoint (.pptx), plain text or Markdown, and images (PNG, JPG, WebP, GIF), or type a topic. One file per creation on the free plan; several at once on Plus.

How it compares: vs Knowt · vs Quizlet · vs NotebookLM · vs Mapify

Build Your Sequence and Series Map

Turn your lecture notes into a clear map of patterns, formulas and worked examples.

Map from your own material

Upload notes, a PDF or slides and get branches for each formula and method your course uses.

Formulas in context

Each branch links the definition, the rule for the nth term and the sum formula to its example.

Quiz and flashcards next

Turn the same map into a quiz or flashcards to test recall of formulas and conditions.

How to Make a Sequence and Series Map

Three steps from your course material to a map you can revise from.

  1. 1

    Add your material

    Upload your notes, textbook chapter or slides, or type the topic such as arithmetic series.

  2. 2

    AI builds the map

    The AI groups sequences, series, formulas and examples into expandable branches.

  3. 3

    Study, expand and quiz

    Expand weak branches, edit wording, then export or turn the map into a quiz.

Sequence and Series Concepts in One Map

A sequence is an ordered list of numbers, and a series is the sum of its terms. Most courses split the topic into arithmetic sequences, where each term adds a fixed common difference, and geometric sequences, where each term multiplies by a fixed common ratio. Both lead to formulas for the nth term and for the sum of the first n terms.

  • Arithmetic sequences: constant difference between consecutive terms
  • Geometric sequences: constant ratio between consecutive terms
  • Nth term: formulas that find any term directly
  • Sums of series: formulas for adding the first n terms
  • Convergence: when an infinite geometric series has a finite sum

Use the map to revise each formula and check when it applies. To build a map from your own lecture notes, use CogniGuide's AI generator.

Sequence and Series Questions

Common questions from students revising the topic.

What is the difference between a sequence and a series?

A sequence is an ordered list of numbers, such as 2, 4, 6, 8. A series is the sum of those terms, such as 2 + 4 + 6 + 8. The sequence lists the values, and the series adds them.

When does an infinite geometric series have a sum?

An infinite geometric series has a finite sum only when the absolute value of the common ratio is less than 1. In that case the sum equals the first term divided by one minus the ratio.

Which files can I use to make my map?

You can upload a PDF, Word or PowerPoint file, a text or Markdown file, or an image of your notes. You can also type the topic directly.

Is it free to create a sequence and series map?

Yes. The free plan allows 5 creations a week with no payment needed. Paid plans raise these limits.