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What is Arithmetic Progression mean?
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2.
If the initial term of an arithmetic progression is a 1 {\displaystyle a_{1}} and the common difference of successive members is d, then the nth term of the sequence ( a n {\displaystyle a_{n}} ) is given by:
a n = a 1 + ( n − 1 ) d {\displaystyle \ a_{n}=a_{1}+(n-1)d} ,and in general
a n = a m + ( n − m ) d {\displaystyle \ a_{n}=a_{m}+(n-m)d} .A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The sum of a finite arithmetic progression is called an arithmetic series.
referencePosted on 12 Dec 2024, this text provides information on Miscellaneous in Maths related to Maths. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.
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