Question

Define an arithmetic progression.

 

Answer 1

An arithmetic progression is a sequence of terms such that the difference between any two consecutive terms of the sequence is always same.

Suppose we have a sequence  `a_1,a_2,a_3,a_4,....`

So, if these terms are in A.P., then,

`a_2 - a_1 = d`

`a_1 - a_2 = d`

`a_4 - a_3 = d`

And so on…

Here, d is the common difference of the A.P.

Example: 1, 3, 5, 7, 9 … is an A.P. with common difference (d) as 2.