An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2.
Arithmetic Progression (AP) refers to a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is known as the common difference (d).
The general form of an arithmetic progression is given by:
a, a+d, a+2d, a+3d, ..., where 'a' represents the first term, 'd' represents the common difference, and the subsequent terms are obtained by adding 'd' to the previous term.
For example, if we have an AP with a first term of 2 and a common difference of 3, it would look like:
2, 5, 8, 11, 14, ...
Arithmetic progressions find applications in various mathematical concepts and real-life scenarios. They are commonly used in mathematics, finance, economics, and physics, among other fields. The ability to identify the common difference and compute any term or the sum of a given number of terms in an arithmetic progression is crucial when working with these types of sequences.
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An arithmetic progression or arithmetic sequence (AP) is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2.
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Arithmetic Progression (AP) refers to a sequence of numbers in which the difference between any two consecutive terms is constant. This constant difference is known as the common difference (d).
The general form of an arithmetic progression is given by:
a, a+d, a+2d, a+3d, ..., where 'a' represents the first term, 'd' represents the common difference, and the subsequent terms are obtained by adding 'd' to the previous term.
For example, if we have an AP with a first term of 2 and a common difference of 3, it would look like:
2, 5, 8, 11, 14, ...
Arithmetic progressions find applications in various mathematical concepts and real-life scenarios. They are commonly used in mathematics, finance, economics, and physics, among other fields. The ability to identify the common difference and compute any term or the sum of a given number of terms in an arithmetic progression is crucial when working with these types of sequences.
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