The following points are helpful to clearly understand the concepts of sequence and series.
- In an arithmetic sequence and series, a is represented as the first term, d is a common difference, an as the nth term, and n as the number of terms.
- In general, the arithmetic sequence can be represented as a, a+d, a+2d, a+3d,…
- Each successive term is obtained in a geometric progression by multiplying the common ratio to its preceding term.
- The formula for the nth term of a geometric progression whose first term is a and common ratio is r is an = arn−1
- The sum of the infinite GP formula is given as Sn = a/(1−r) where |r|<1.
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