Question

State whether the given list of numbers is an arithmetic progression or not.

$a)13,20,27,34,...$

$b)6,16,26,35,...$

Answer 1

In the first list of numbers $13,20,27,34,...$

It can be noted that there is a fixed difference between each of its consecutive terms and that difference is $7$. Thus the list of numbers in '$a$' is an arithmetic progression.

In the second list of numbers,the difference between $6$ and $16$ is $10$ and so is the difference between $16$ and $26$. But the difference between $26$ and $35$ is not $10$ and is $9$. Thus, there is no fixed difference between the consecutive numbers of the list and thus '$b$' is not an arithmetic progression.