Progression Progression An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, ‌ is an arithmetic progression with common difference of 2. If the initial term of an arithmetic progression is and the common difference of successive members is d, then the nth term of the sequence () is given by 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.The behavior of the arithmetic progression depends on the common difference d. If the common difference is, Positive, the members (terms) will grow towards positive infinity. Negative, the members (terms) will grow towards negative infinity This section is about Finite arithmetic series. For Infinite arithmetic series, see Infinite arithmetic series.The sum of the members of a finite arithmetic progression is called an arithmetic series.Expressing the arithmetic series in two different ways ,Adding both sides of the two equations, all terms involving d cancel. Dividing both sides by 2 produces a common form of the equation. An alternate form results from re-inserting the substitution. In 499 AD Aryabhata, a prominent mathematician-astronomer from the classical age of Indian mathematics and Indian astronomy, gave this method in the Aryabhatiya (section 2.18). Know More About :- Graph Linear Equations
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