4.2 Sequences and Series: Terminology in Context

In the previous section, you encountered mathematical terms in isolation. Now, you will focus on how mathematical terminology and STEM expressions are used in context, that is, within sentences and text (recall, ‘STEM’ stands for Science, Technology, Engineering and Mathematics).

Mathematical terms rarely appear alone, they occur in text alongside other words. For example, the word mathematical rarely appears on its own. It of course occurs in sentences and in texts, for example as a sentence in a book on how mathematicians think: Mathematical thinking cultivates logical reasoning and problem-solving skills, enabling individuals to approach challenges systematically, evaluate evidence critically, and make informed decisions in professional and academic contexts.

By studying terminology and expressions in context, you will become more familiar with how they are used, helping you recognise and apply them more confidently in your own work.

 

In this activity, complete multiple texts on the topic of sequences and series by filling in the missing mathematical terms.

Most of the missing terms are words you learnt in the previous section, or are listed in the Glossary, Section 4.7. However, there may also be a few new terms. If you encounter any unfamiliar words (either as missing words or in the surrounding text), look them up and note them in your vocabulary book.

Note that after each mathematical notation, its pronunciation is given in brackets in italics. Furthermore, the stressed syllables are in bold.

This activity continues from the previous one. You will again work with words and phrases in a text, but this time, the focus is on STEM expressions, not just mathematical terms.

Your task is to drag and drop the correct phrase from the list into each gap in the text.

An example of a STEM expression is: a process in which different components interact in a coordinated manner to produce a measurable effect. This is an example of a string of words which is used in mathematics and beyond.

Note that after each mathematical notation, its pronunciation is given in brackets in italics.

In the next section, you will learn how to read out individual mathematical symbols. While the current and previous sections focused on mathematical terminology, the next section will help you communicate using mathematical symbols.

Licence

Icon for the Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License

The Academic Language of Mathematics Copyright © 2026 by University of Leeds is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License, except where otherwise noted.

Share This Book