Progressions with equal common difference are known asa)Arithmetic Pro...
Progressions with equal common difference are known as Arithmetic Progression.
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Progressions with equal common difference are known asa)Arithmetic Pro...
Ye toh simple sa definition hi hai A.P ka ... ki usme d same rheta hai.
Progressions with equal common difference are known asa)Arithmetic Pro...
Arithmetic Progression:
An arithmetic progression (AP) is a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is known as the common difference.
Characteristics of Arithmetic Progression:
- In an AP, each term is obtained by adding the common difference to the previous term.
- The general form of an arithmetic progression is: a, a + d, a + 2d, a + 3d, ..., where 'a' is the first term and 'd' is the common difference.
Example:
Let's take an example of an arithmetic progression with a first term of 2 and a common difference of 4. The progression would look like: 2, 6, 10, 14, ...
Identification of Arithmetic Progression:
To identify if a given sequence is an arithmetic progression, we need to check if the difference between consecutive terms remains the same throughout the sequence.
Conclusion:
In conclusion, progressions with equal common difference are known as Arithmetic Progressions. It is important to understand the concept of arithmetic progression to solve various mathematical problems efficiently.
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