Question

What is an arithmetic sequence?

Answer 1

Define arithmetic sequence:

A sequence whose common difference between the consecutive terms is the same is known as an arithmetic sequence. Some of the examples of arithmetic sequence are $1,2,3,4,5,6$; $5,10,15,20,25,30$.

In first series, $1,2,3,4,5,6$, the difference between any consecutive terms is $1$, so it is an arithmetic sequence.

In first series, $5,10,15,20,25,30$, the difference between any consecutive terms is $5$, so it is an arithmetic sequence.

Thus, an arithmetic series is the series in which common difference between the consecutive terms is same.