`4, 9, 14, 19, 24` Determine whether the sequence is arithmetic. If so, find the common difference.

`4,9,14,19,24`

A sequence is arithmetic when its terms continually increase or decrease by the same number called as the common difference.

So, let's find the common difference,

`a_2-a_1=9-4=5`

`a_3-a_2=14-9=5`

`a_4-a_3=19-14=5`

`a_5-a_4=24-19=5`

So the terms are increasing by the common difference of 5 which shows that the sequence is arithmetic.

`4,9,14,19,24`

A sequence is arithmetic when its terms continually increase or decrease by the same number called as the common difference.

So, let's find the common difference,

`a_2-a_1=9-4=5`

`a_3-a_2=14-9=5`

`a_4-a_3=19-14=5`

`a_5-a_4=24-19=5`

So the terms are increasing by the common difference of 5 which shows that the sequence is arithmetic.