Which of the following seqences are `A.P`.? If they are `A.P.` find the common difference.
`0,-4,-8,-12`………..

Answer

The given sequence is an A.P. The common difference `= d = -4`.

Explanation

Here, the first term `t_(1)=0`,
`t_(2)-t_(1)=-4-0=-4`
`t_(3)-t_(2)=-8-(-4)-8+4=-4`
`t_(4)-t_(3)=-12-(-8)=-12+8=-4`
The difference between any two consecutive terms is constant.