Definitions from the Web
Arithmetic Progression
Definition:
An arithmetic progression refers to a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is called the common difference. The arithmetic progression is also known as an arithmetic sequence.
Usage:
Popular:
- In mathematics, arithmetic progressions are widely used in solving problems related to sequences and series.
- An arithmetic progression is commonly encountered when calculating the sum of evenly spaced numbers.
- Understanding the concept of arithmetic progressions is crucial in the study of mathematical patterns and relationships.
Local:
- In the local context, arithmetic progressions find application in various economic and financial calculations.
- Local artisans often utilize arithmetic progressions when creating patterns in crafts and designs.
- Arithmetic progressions play a role in local sports competitions, such as determining the point differentials for scoring.
Example Sentences:
Popular:
- The sequence 2, 5, 8, 11, 14 is an arithmetic progression with a common difference of 3.
- Using the formula for the nth term of an arithmetic progression, we can easily find the value of any term in the sequence.
- Arithmetic progressions are extensively utilized in real-life scenarios, such as calculating mortgage payments or understanding population growth.
Local:
- In the local market, the price of certain goods often follows an arithmetic progression, increasing or decreasing by a fixed amount over time.
- The local dance community choreographed a routine with an arithmetic progression of steps, showcasing their creativity.
- When organizing a local marathon, the organizers established an arithmetic progression for water stations along the route.
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