common difference: meaning, definition, pronunciation and examples
LowAcademic, Technical
Quick answer
What does “common difference” mean?
In mathematics, specifically arithmetic sequences, the constant value added to each term to obtain the next term.
Audio
Pronunciation
Definition
Meaning and Definition
In mathematics, specifically arithmetic sequences, the constant value added to each term to obtain the next term.
The fixed interval between successive elements in a linear progression.
Dialectal Variation
British vs American Usage
Differences
No differences in meaning or usage. It is a standard international mathematical term.
Connotations
Purely technical, without additional cultural connotations in either variety.
Frequency
Used exclusively in mathematical contexts with equal frequency in both varieties.
Grammar
How to Use “common difference” in a Sentence
The common difference [is] [number].[Number] [serves as] the common difference.A sequence [with] a common difference of [number].Vocabulary
Collocations
Examples
Examples of “common difference” in a Sentence
noun
British English
- The common difference in this sequence is five.
- You must first determine the common difference.
American English
- The common difference in this progression is five.
- First, you need to find the common difference.
Usage
Meaning in Context
Business
Not used.
Academic
Used in mathematics education and textbooks to describe arithmetic sequences.
Everyday
Not used in general conversation.
Technical
The primary context; used in pure and applied mathematics, engineering, and programming.
Vocabulary
Antonyms of “common difference”
Watch out
Common Mistakes When Using “common difference”
- Confusing it with 'common ratio' used in geometric sequences.
- Using it to describe non-arithmetic progressions.
- Misspelling as 'common diference'.
FAQ
Frequently Asked Questions
No, the common difference can be positive, negative, or zero.
Yes, it can be any real number, including fractions and decimals.
'Common difference' is for arithmetic sequences (addition/subtraction), while 'common ratio' is for geometric sequences (multiplication/division).
It is primarily a pure math term but can be applied in any field modeling linear discrete growth, such as finance or computer science.
In mathematics, specifically arithmetic sequences, the constant value added to each term to obtain the next term.
Common difference is usually academic, technical in register.
Common difference: in British English it is pronounced /ˈkɒmən ˈdɪf(ə)rəns/, and in American English it is pronounced /ˈkɑːmən ˈdɪfrəns/. Tap the audio buttons above to hear it.
Learning
Memory Aids
Mnemonic
Think of climbing stairs: the 'common difference' is the fixed height of each step.
Conceptual Metaphor
A fixed step size in a linear journey.
Practice
Quiz
What is the 'common difference' in the sequence: -2, 1, 4, 7?